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Journal articles on the topic 'Multivariable H - function'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Priyanka, Gupta*1 &. Dr Neelam Pandey2. "INTEGRAL INVOLVING THE MULTIVARIABLE H-FUNCTIONS." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES 6, no. 5 (2019): 80–85. https://doi.org/10.5281/zenodo.2693875.

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In this paper, the author presented certain integrals involving product of the multivariable H-function with exponential function, Gauss’s hypergeometric function and Fox’s function. The results derived here and basic in natural and many include a number of known and new results as particular cases.

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2

Frédéric, Ayant, Kumar Prvindra, and Singh Harendra. "On unified infinite integral involving product of multivariable Gimel-function and others special functions." APPLIED SCIENCE PERIODICAL XXIII, no. 3, August 2021 (2021): 1–16. https://doi.org/10.5281/zenodo.6796914.

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              The multivariable Gimel function [2] is an unified special function, it’s an extension of the multivariable Aleph-function defined by Ayant [1], the multivariable I-function defined by Prasad [9], the multivariable I-function defined by Prathima et al. [11] at a time, of course this function is a generalization of the multivariable H-function. To define this function, we use the multiple Mellin-Barnes integrals contour. 

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3

Yashwant, Singh, and Kumar Mandia Harmendra. "ON AN EXPANSION FORMULA FOR THE MULTIVARIABLE I - FUNCTION INVOLVING GENERALIZED LEGENDRE'S ASSOCIATED FUNCTION." International Journal of Research – Granthaalayah 4, no. 1 (2017): 55–62. https://doi.org/10.5281/zenodo.848169.

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The authors have established a new expansion formula for multivariable I -function due to Prasad [5] in terms of products of the multivariable I -function and the generalized Legendre’s associated function due to Meulenbeld [3]. Some special cases are given in the last.

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4

Kumar, Dinesh, Frédéric Ayant, and Jessada Tariboon. "On Transformation Involving Basic Analogue of Multivariable H-Function." Journal of Function Spaces 2020 (May 28, 2020): 1–7. http://dx.doi.org/10.1155/2020/2616043.

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In this article, fractional order q-integrals and q-derivatives involving a basic analogue of multivariable H-function have been obtained. We give an application concerning the basic analogue of multivariable H-function and q-extension of the Leibniz rule for the fractional q-derivative for a product of two basic functions. We also give the corollary concerning basic analogue of multivariable Meijer’s G-function as a particular case of the main result.

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5

Naresh Bhati. "Finite Integral Formulas Involving H -Function and Multivariable Polynomial." Communications on Applied Nonlinear Analysis 32, no. 9s (2025): 663–74. https://doi.org/10.52783/cana.v32.3971.

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This study presents three finite integrals that include the product of multivariable polynomials and the -function. Additionally, some special cases have been identified that involve well-known functions like the H-function, G-function, and the generalized Wright hypergeometric function.

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6

Kumar, Hemant, and Surya Kant Rai. "MULTIPLE FRACTIONAL DIFFUSIONS VIA MULTIVARIABLE H-FUNCTION." Jnanabha 50, no. 01 (2020): 253–64. http://dx.doi.org/10.58250/jnanabha.2020.50124.

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In this paper, we introduce a diffusion and wave equation consisting of multidimensional space Riesz-Feller fractional operators and Caputo time fractional derivative. Imposing certain boundary values, we obtain its solution in terms of multivariable H-function and finally making an appeal to our results, we evaluate various multiple fractional diffusions.

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7

Mishra, Mithilesh K., Rajeev Shrivastava, Lakshmi N. Mishra, and S. K. Tiwari. "An Integrals Involving the Multivariable H-Functions." SAMRIDDHI : A Journal of Physical Sciences, Engineering and Technology 14, no. 04 (2022): 123–25. http://dx.doi.org/10.18090/samriddhi.v14i04.19.

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The aim of this paper is to evaluate an infinite integral involving the product of multivariable H-functions along with Srivastava polynomial and M-series by means of finite difference operations E. As the generalized hypergeometric function and multivariable H-functions are of a very general nature, the integral, on specializing the parameters, leads to a generalization of many results some of which are known and other are believed to be new.

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8

Garg, O. P., and Virendra Kumar. "Certain multiple integral relations involving multivariable $ H $-function and general polynomials." Tamkang Journal of Mathematics 32, no. 4 (2001): 259–69. http://dx.doi.org/10.5556/j.tkjm.32.2001.340.

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In this paper, first we obtain a finite integral involving multivariable $ H $-function and general classes of polynomials. Next, with the application of this and a lemma due to Srivastava et al. (1981) we obtain two general multiple integral relations involving the multivariable $ H $-function, general classes of polynomials and two arbitrary function $ f $ and $ g $. Again, by suitably specializing the functions $ f $ and $ g $ occurring in the main integral relations, we have also evaluated multiple integrals which are new and quite general in nature.

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9

Choi, Junesang, Jitendra Daiya, Dinesh Kumar, and Ram Kishore Saxena. "FRACTIONAL DIFFERENTIATION OF THE PRODUCT OF APPELL FUNCTION F3AND MULTIVARIABLE H-FUNCTIONS." Communications of the Korean Mathematical Society 31, no. 1 (2016): 115–29. http://dx.doi.org/10.4134/ckms.2016.31.1.115.

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10

Khan, AshiqHussain, Neelam Pandey, and NisarAhamd Kangoo. "P-Transform Associated with General Class of Multivariable Polynomials and Multivariable H-Function." International Journal of Mathematics Trends and Technology 59, no. 3 (2018): 143–48. http://dx.doi.org/10.14445/22315373/ijmtt-v59p522.

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11

MARSKOLE, SEEMA, and S. S. SHRIVASTAVA. "Multivariable H-Function and Problem Related to Flux Condition." Journal of Ultra Scientist of Physical Sciences Section A 28, no. 5 (2016): 232–34. http://dx.doi.org/10.22147/jusps-a/280501.

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12

Ayant, Frédéric, and Dinesh Kumar. "Generating relations and multivariable Aleph-function." Analysis 38, no. 3 (2018): 137–43. http://dx.doi.org/10.1515/anly-2017-0054.

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Abstract Srivastava and Panda have studied the simple and multiple generating relations concerning the multivariable H-function. The aim of this paper is to derive the various classes of simple and multiple generating relations involving the multivariable Aleph-function. The generating function is used in the theory of numbers, in physics and other fields of mathematics. We see the particular cases concerning the multivariable I-function, the Aleph-function of two variables and the I-function of two variables.

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13

Ayant, F. Y. "Kober Fractional Q-Integral of Basic Analogue of Multivariable H-Function and Basic Analogue of Multivariable Meijer-Function." International Journal of Mathematics Trends and Technology 63, no. 2 (2018): 145–50. http://dx.doi.org/10.14445/22315373/ijmtt-v63p519.

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14

Nitesh Kumar Sahu. "Heat Conduction in a Square Plate Involving Multivariable H-Function." Communications on Applied Nonlinear Analysis 32, no. 2s (2024): 304–11. https://doi.org/10.52783/cana.v32.2402.

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A rigorous mathematical paradigm incorporating the multivariable H-function is devised to elucidate heat conduction phenomena in square plates. This innovative framework facilitates the derivation of a precise temperature field model, thereby enabling a comprehensive examination of the interplay between plate geometry and heat propagation characteristics. The analytical solution is substantiated through meticulous numerical simulations, underscoring the multivariable H-function's exceptional capability in capturing intricate heat conduction dynamics under disparate boundary conditions. This in

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15

Kumar, D., and F. Y. Ayant. "Fractional calculus pertaining to multivariable I-function defined by Prathima." Journal of Applied Mathematics, Statistics and Informatics 15, no. 2 (2019): 61–73. http://dx.doi.org/10.2478/jamsi-2019-0009.

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Abstract In this paper, we study a pair of unified and extended fractional integral operator involving the multivariable I-functions and general class of multivariable polynomials. Here, we use Mellin transforms to obtain our main results. Certain properties of these operators concerning to their Mellin-transforms have been investigated. On account of the general nature of the functions involved herein, a large number of known (may be new also) fractional integral operators involved simpler functions can be obtained. We will also quote the particular case of the multivariable H-function.

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16

Marskole, Dr Seema, and Dr S. S. Shrivastava. "On Some New Linear Generating Relations Involving Multivariable H-Function." IOSR Journal of Mathematics 12, no. 05 (2016): 55–57. http://dx.doi.org/10.9790/5728-1205025557.

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17

Frédéric, Ayant, Kumar Prvindra, and Singh Harendra. "Multidimensional Laguerre Transform and Modified of generalized multivariable A-function." APPLIED SCIENCE PERIODICAL XXIII, no. 2, May 2021 (2021): 14–28. https://doi.org/10.5281/zenodo.6796596.

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<em>              The object of this paper is to use the multidimensional Laguerre transforms involving the modified of </em> <em>generalized multivariable A-function. In the end, we shall see several corollaries and remarks.</em>

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18

Ayant, Frdric, and Dinesh Kumar. "Fredholm type integral equation with special functions." Acta Universitatis Sapientiae, Mathematica 10, no. 1 (2018): 5–17. http://dx.doi.org/10.2478/ausm-2018-0001.

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Abstract Recently Chaurasia and Gill [7], Chaurasia and Kumar [8] have solved the one-dimensional integral equation of Fredholm type involving the product of special functions. We solve an integral equation involving the product of a class of multivariable polynomials, the multivariable H-function defined by Srivastava and Panda [29, 30] and the multivariable I-function defined by Prasad [21] by the application of fractional calculus theory. The results obtained here are general in nature and capable of yielding a large number of results (known and new) scattered in the literature.

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19

Rayouf, Zeineb, Chekib Ghorbel, and Naceur Benhadj Braiek. "Nonfragile H ∞ Stabilizing Nonlinear Systems Described by Multivariable Hammerstein Models." Complexity 2021 (February 18, 2021): 1–12. http://dx.doi.org/10.1155/2021/8833768.

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This paper presents the problem of robust and nonfragile stabilization of nonlinear systems described by multivariable Hammerstein models. The objective is focused on the design of a nonfragile feedback controller such that the resulting closed-loop system is globally asymptotically stable with robust H ∞ disturbance attenuation in spite of controller gain variations. First, the parameters of linear and nonlinear blocks characterizing the multivariable Hammerstein model structure are separately estimated by using a subspace identification algorithm. Second, approximate inverse nonlinear functi

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20

Srimannarayana, N., Fredric Ayant, Y. Pragathi Kumar, D. K. Pavan Kumar, and B. Satyanarayana. "Multiple eulerian integrals with modified multivariable I-function having general arguments." Journal of Interdisciplinary Mathematics 26, no. 1 (2023): 77–94. http://dx.doi.org/10.47974/jim-1649.

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Many authors have recently provided a number of expressions for a general Eulerian integrals about the multi-variable H-functions. Inspired by these works, we evaluated here a general class of multi-variable Eulerian integrals with modified multi-variable I-function (MMIF) with general arguments, which has been defined in this article. Some of the particular cases have been discussed. These results will help to deduce numerous useful integrals.

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21

Shrivastava, H. S. P. "Evaluation of Certain Class of Eulerian Integrals of the Multivariable H-Function." Mathematical and Computational Applications 3, no. 2 (1998): 113–25. http://dx.doi.org/10.3390/mca3020113.

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22

Chaurasia, V. B. L., and Hari Singh Parihar. "Fractional integral formulae concerning certain special functions." Tamkang Journal of Mathematics 38, no. 1 (2007): 75–83. http://dx.doi.org/10.5556/j.tkjm.38.2007.95.

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The main aim of the present paper is to derive some results related to fractional integral formulae on the product of multivariable $H$-function and two general class of multivariable polynomials. A large number of known and new result have also been obtained by proper choice of parameters.

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23

Chaurasia, V. B. L., and Anju Godika. "Fractional derivatives of certain special functions." Tamkang Journal of Mathematics 32, no. 2 (2001): 103–9. http://dx.doi.org/10.5556/j.tkjm.32.2001.351.

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The theorems relating to the fractional derivatives for the multivariable H-function [1,15,17] and a general class of multivariable polynomials [13] have been established in this paper. Use of well known generalized Leibniz rule has been made to derive some theorems. Certain special cases of the main theorems have also been discussed.

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24

Suthar, D. L., and P. Agarwal. "Generalized Mittag -Leffler Function and the Multivariable H-function involving the Generalized Mellin-Barnes Contour Integrals." Communications in Numerical Analysis 2017, no. 1 (2017): 25–33. http://dx.doi.org/10.5899/2017/cna-00311.

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25

Gupta, Priyanka, and Neelam Pandey. "On Certain Integrals Involving the Product of Multivariable H-Function and M-Series." Journal of Computer and Mathematical Sciences 9, no. 6 (2018): 571–78. http://dx.doi.org/10.29055/jcms/791.

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26

Zheng, Hong, Yaodeng Chen, Shiwei Zheng, Deming Meng, and Tao Sun. "Radar Reflectivity Assimilation Based on Hydrometeor Control Variables and Its Impact on Short-Term Precipitation Forecasting." Remote Sensing 15, no. 3 (2023): 672. http://dx.doi.org/10.3390/rs15030672.

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Radar reflectivity assimilation is often used to initialize hydrometeors, to which Numerical Weather Prediction (NWP) is highly sensitive. To better initialize hydrometeors, this study further developed the background error covariance (BEC) with vertical and multivariable correlations of hydrometeor control variables (H-BEC) in the WRF three-dimensional variational data assimilation system (WRFDA-3DVar). The impacts of the H-BEC are discussed using single radar reflectivity tests and series of cycling data assimilation and forecasting experiments for five multi-type convective rainfall cases.

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27

Gaboury, Sébastien, Richard Tremblay, and Mehmet Ali Özarslan. "Some bilateral generating functions involving the Erkus-Srivastava polynomials and some general classes of multivariable polynomials." Tamkang Journal of Mathematics 45, no. 4 (2014): 341–56. http://dx.doi.org/10.5556/j.tkjm.45.2014.1299.

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Recently, Liu et al. [Bilateral generating functions for the Erkucs-Srivastava polynomials and the generalized Lauricella function, Appl.Math.Comput.218 (2012),pp.7685-7693 investigated some various families of bilateral generating functions involving the Erkucs Srivastava polynomials. The aim of this present paper is to obtain some bilateral generating functions involving the Erkucs-Srivastava polynomials and three general classes of multivariable polynomials introduced earlier by Srivastava in A contour integral involving Fox's H-function, Indian J.Math.14 (1972), pp.1-6, A multilinear gener

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28

Tsai, Mi-Ching, and Yen-Ping Shin. "H ∞ Optimal Robust Control of Feedback Systems." Journal of Dynamic Systems, Measurement, and Control 111, no. 2 (1989): 336–39. http://dx.doi.org/10.1115/1.3153056.

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In this paper, we apply and extend Young’s algorithm for the Nevanlinna-Pick problems to solve an optimal robust stabilizer in multivariable feedback control systems. A sufficient condition for the existence of a robust stabilizer, in terms of the unstable poles of a given nominal plant and its uncertainty band function, is derived and an explicit formula for synthesizing the optimal robust stabilizer is also given.

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29

Kim, Junghoon, and Jung Hoon Kim. "The $ L_1 $-induced norm analysis for linear multivariable differential equations." AIMS Mathematics 9, no. 12 (2024): 34205–23. https://doi.org/10.3934/math.20241629.

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<p>In this paper, we consider the $ L_1 $-induced norm analysis for linear multivariable differential equations. Because such an analysis requires integrating the absolute value of the associated impulse response on the infinite-interval $ [0, \infty) $, this interval was divided into $ [0, H) $ and $ [H, \infty) $, with the truncation parameter $ H $. The former was divided into $ M $ subintervals with an equal width, and the kernel function of the relevant input\slash output operator on each subinterval was approximated by a $ p $th order polynomial with $ p = 0, 1, 2, 3 $. This derive

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30

Suthar, D. L., Mitku Andualem, and Belete Debalkie. "A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators." Journal of Mathematics 2019 (August 1, 2019): 1–7. http://dx.doi.org/10.1155/2019/9864737.

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We study some properties of generalized multivariable Mittag-Leffler function. Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H-function as kernel. Relating affirmations in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented. Some known special cases have also been mentioned in the concluding section.

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31

Ayant, F. Y. "Application of q-Leibniz rule to transformations involving basic analogue of multivariable H-function." International Journal of Mathematics Trends and Technology 63, no. 2 (2018): 103–8. http://dx.doi.org/10.14445/22315373/ijmtt-v63p513.

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32

Ayant, F. Y. "Certain fractional q-derivative integral formulae for the basic analogue of multivariable H-function." International Journal of Mathematics Trends and Technology 63, no. 2 (2018): 118–23. http://dx.doi.org/10.14445/22315373/ijmtt-v63p515.

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33

Soni, R. C., and Deepika Singh. "The unified Riemann-Liouville fractional derivative formulae." Tamkang Journal of Mathematics 36, no. 3 (2005): 231–36. http://dx.doi.org/10.5556/j.tkjm.36.2005.115.

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In this paper, we obtain two unified fractional derivative formulae. The first involves the product of two general class of polynomials and the multivariable $H$-function. The second fractional derivative formula also involves the product of two general class of polynomials and the multivariable $H$-function and has been obtained by the application of the first fractional derivative formula twice and it has two independent variables instead of one. The polynomials and the functions involved in both the fractional derivative formulae as well as their arguments are quite general in nature and so

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34

Kumar, D., S. D. Purohit, and J. Choi. "Generalized Fractional Integrals Involving Product of Multivariable H-function and a General Class of Polynomials." Journal of Nonlinear Sciences and Applications 09, no. 01 (2016): 8–21. http://dx.doi.org/10.22436/jnsa.009.01.02.

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35

Goyal, S. P., and Ritu Goyal. "A GENERAL THEOREM FOR THE GENERALIZED WEYL FRACTIONAL INTEGRAL OPERATOR INVOLVING THE MULTIVARIABLE H-FUNCTION." Taiwanese Journal of Mathematics 8, no. 4 (2004): 559–68. http://dx.doi.org/10.11650/twjm/1500407704.

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36

Joshi, Alok, and Won-jong Kim. "Modeling and Multivariable Control Design Methodologies for Hexapod-Based Satellite Vibration Isolation." Journal of Dynamic Systems, Measurement, and Control 127, no. 4 (2004): 700–704. http://dx.doi.org/10.1115/1.2101842.

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A mathematical model of a six-degree-of-freedom (6-DOF) hexapod system for vibration isolation was derived in the discrete-time domain on the basis of the experimental data obtained from a satellite. Using a Box–Jenkins model structure, the transfer functions between six piezoelectric actuator input voltages and six geophone sensor output voltages were identified empirically. The 6×6 transfer function matrix is symmetric, and its off-diagonal terms indicate the coupling among different input/output channels. Various multi-input multi-output (MIMO) control techniques such as Linear Quadratic Ga

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37

Saeedian, Atefeh, Farshad Merrikh-Bayat, and Abolfazl Jalilvand. "Multivariable fractional-order PID tuning by iterative non-smooth static-dynamic H∞ synthesis." Fractional Calculus and Applied Analysis 24, no. 4 (2021): 1094–111. http://dx.doi.org/10.1515/fca-2021-0047.

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Abstract This paper proposes a new method for tuning the parameters of multi-input multi-output (MIMO) fractional-order PID (FOPID) controller. The aim of the proposed method is to calculate the parameters of this controller such that the rise time and steady-state errors of the feedback system are minimized without violating the predetermined stability margins. Mathematically, this problem is formulated as maximizing the spectral norm of the open-loop transfer matrix at zero frequency subject to a constraint on the H∞ -norm of the sensitivity function. This problem is nonlinear in parameters

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38

Chaurasia, V. B. L., and S. C. Pandey. "Fractional integral operators involving the product of Srivastava polynomials and Srivastava-Panda multivariable $ H $ -functions of generalized arguments." Tamkang Journal of Mathematics 39, no. 2 (2008): 131–36. http://dx.doi.org/10.5556/j.tkjm.39.2008.23.

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The paper deals with two fractionalintegral formulae involving the product of a general class ofpolynomials and multivariate $H$-function. The first involves theoperator $_cI_z^v[f(z)]$ whereas second is associated with theintegral operator $I_z^{\eta, v}[f(z)]$. In our fractional integralformulae we have taken all the functions and polynomials with ageneralized argument. The formulae, we have introduced here, are incompact form and basic in nature. A number of known and new resultshave been obtained by proper choice of parameters. For the sake ofillustration, we record here some particular ca

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39

Huang, Qi-Fang, Zhen-Yu Zhang, Jan Van Keer, et al. "Urinary peptidomic biomarkers of renal function in heart transplant recipients." Nephrology Dialysis Transplantation 34, no. 8 (2018): 1336–43. http://dx.doi.org/10.1093/ndt/gfy185.

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AbstractBackgroundChronic kidney disease (CKD) is common in patients after heart transplantation (HTx). We assessed whether in HTx recipients the proteomic urinary classifier CKD273 or sequenced urinary peptides revealing the parental proteins correlated with the estimated glomerular filtration rate (eGFR).MethodsIn 368 HTx patients, we measured the urinary peptidome and analysed CKD273 and 48 urinary peptides with a detectable signal in >95% of participants. After 9.1 months (median), eGFR and the urinary biomarkers were reassessed.ResultsIn multivariable Bonferroni-corrected analyses of t

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40

Mitov, Alexander, Tsonyo Slavov, and Jordan Kralev. "Comparison of Advanced Multivariable Control Techniques for Axial-Piston Pump." Processes 12, no. 9 (2024): 1797. http://dx.doi.org/10.3390/pr12091797.

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This article is devoted to a comparison of two advanced control techniques applied to the same plant. The plant is a certain type of axial-piston pump. A linear-quadratic (LQR) controller and an H-infinity (H∞) controller were synthesized to regulate the displacement volume of the pump. The classical solution to such a problem is to use a hydro-mechanical controller (by pressure, flow rate, or power) but, in the available sources, there are solutions that implement proportional-integral-derivative (PID), LQR, model predictive control (MPC), etc. Unlike a classical solution, in our case, the hy

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41

Garg, Mridula, and Mridula Purohit. "Eulerian intergral formulas and associated fractional integration." Tamkang Journal of Mathematics 31, no. 3 (2000): 203–12. http://dx.doi.org/10.5556/j.tkjm.31.2000.394.

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In the present paper, we evaluate two unified Eulerian integrals whose integrands involve the product of a general class of multivariable polynomials and the multivariable $ {\bf H}$-function. The results obtained here provide interesting unifications and extensions of several known [eg. [9], [11], [12], [18], [21], etc.] and new results. We have given two new special cases which are also sufficiently general in nature and of interest in themselves. As an application, one of the result has also been expressed as fractional integral which would provide useful generalization of known results in

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42

Hattori, Hiroko, Aya Hirata, Sachimi Kubo, et al. "Estimated 24 h Urinary Sodium-to-Potassium Ratio Is Related to Renal Function Decline: A 6-Year Cohort Study of Japanese Urban Residents." International Journal of Environmental Research and Public Health 17, no. 16 (2020): 5811. http://dx.doi.org/10.3390/ijerph17165811.

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The effect of the sodium-to-potassium ratio (Na/K) on renal function within the clinically normal range of renal function are limited. We investigated the effects of an estimated 24 h urinary Na/K (e24hUNa/K) on a 6-year renal function decline among 927 urban Japanese community dwellers with no history of cardiovascular diseases and medication for hypertension, diabetes, or dyslipidemia. We partitioned the subjects into quartiles according to the e24hUNa/K. The estimated glomerular filtration rate (eGFR) was calculated using the chronic kidney disease epidemiology collaboration (CKD/EPI) formu

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43

Li, Minghui, Longlong Hu, Lihua Hu, et al. "Visceral Adiposity Index Is Inversely Associated with Renal Function in Normal-Weight Adults with Hypertension: The China H-Type Hypertension Registry Study." Journal of Nutrition 151, no. 6 (2021): 1394–400. http://dx.doi.org/10.1093/jn/nxab022.

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ABSTRACT Background Risk of chronic kidney disease (CKD) is higher in normal-weight metabolically unhealthy people, especially when combined with hypertension. In this context, whether the visceral adiposity index (VAI), which reflects body fat distribution and metabolism, can be used to identify the risk of CKD among normal-weight hypertensive patients is unclear. Objectives This study aimed to evaluate the association between VAI and renal function in normal-weight hypertensive patients. Methods In this cross-sectional study, 8591 hypertensive patients with normal BMI from the China H-type H

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44

Daiya, Jitendra, Jeta Ram, and Dinesh Kumar. "The multivariable H-function and the general class of Srivastava polynomials involving the generalized Mellin-Barnes contour integrals." Filomat 30, no. 6 (2016): 1457–64. http://dx.doi.org/10.2298/fil1606457d.

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In the present paper, we study and develop the definite integrals of Gradshteyn-Ryzhik given by Qureshi et al. [3]. The results are in general character and besides of this have been put in a compact form avoiding the occurrence of infinite series and thus making them useful in applications. Several other new and known results can also be obtained from our main theorems.

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Cheng, Dingding, Lijun Liu, and Zhen Yu. "A novel multivariable nonlinear robust control design for turbofan engines." Transactions of the Institute of Measurement and Control 44, no. 5 (2021): 1029–44. http://dx.doi.org/10.1177/01423312211039641.

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Traditional steady-state control methods are applied to turbofan engines operating in the small region near certain operating conditions, which need to switch controllers for operating in the large region and then may lead to instability and performance degradation of the closed-loop system. In this paper, a novel multivariable nonlinear robust control method for turbofan engines is proposed to improve the control performance within the large region. To enlarge the controllable region, a polynomial state-space model describes the nonlinear characteristics of turbofan engines. Based on the anal

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Altajar, Sarah, Na Wang, Max P. Rosenthaler, Joanne M. Murabito, and Michelle T. Long. "NAFLD Associates with Sarcopenia Defined by Muscle Mass and Slow Walking Speed: A Cross-Sectional Analysis from the Framingham Heart Study." Journal of Clinical Medicine 12, no. 24 (2023): 7523. http://dx.doi.org/10.3390/jcm12247523.

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Sarcopenia is associated with NAFLD. It is unknown if the association is explained by shared risk factors. Our study sought to investigate the association between liver fat and sarcopenia in our cohort. Liver fat was measured on CT between 2008 and 2011. We excluded heavy alcohol use and missing covariates. Muscle mass in a subset (n = 485) was measured by 24 h urinary creatinine. Physical function was defined by h strength and walking speed. Sarcopenia was defined as low muscle mass and/or low physical function. We created multivariable-adjusted regression models to evaluate cross-sectional a

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Gupta, K. C., and R. C. Soni. "On the inverse Laplace transform of the product of a general class of polynomials and the multivariable H-function." Proceedings of the Indian Academy of Sciences - Section A 100, no. 1 (1990): 21–24. http://dx.doi.org/10.1007/bf02881110.

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Soni, Ramesh Chandra, and Monica Wiseman. "A Study of Generalized Weyl Differintegral Operator Associated with a General Class of Polynomials and the Multivariable H-function." Kyungpook mathematical journal 50, no. 2 (2010): 229–35. http://dx.doi.org/10.5666/kmj.2010.50.2.229.

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Allinovi, Marco, Francesco Sessa, Gianluca Villa, et al. "Novel Biomarkers for Early Detection of Acute Kidney Injury and Prediction of Long-Term Kidney Function Decline after Partial Nephrectomy." Biomedicines 11, no. 4 (2023): 1046. http://dx.doi.org/10.3390/biomedicines11041046.

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Background: Identifying acute kidney injury (AKI) within few hours of onset is certainly helpful. However, early prediction of a long-term eGFR decline may be an even more important goal. Our aim was to identify and compare serum [creatinine, kineticGFR, cystatin C, neutrophil gelatinase–associated lipocalin (NGAL)] and urinary (NephroCheck, NGAL, proteinuria, albuminuria, acantocytes at urinary sediment) predictors of AKI that might efficiently predict long-term GFR decline after robotic Nephron-Spearing Surgery (rNSS). Methods: Monocentric prospective observational study. Patients scheduled

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Fonseca, Isabel, José Carlos Oliveira, Manuela Almeida, et al. "Neutrophil Gelatinase-Associated Lipocalin in Kidney Transplantation Is an Early Marker of Graft Dysfunction and Is Associated with One-Year Renal Function." Journal of Transplantation 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/650123.

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Urinary neutrophil gelatinase-associated lipocalin (uNGAL) has been suggested as potential early marker of delayed graft function (DGF) following kidney transplantation (KTx). We conducted a prospective study in 40 consecutive KTx recipients to evaluate serial changes of uNGAL within the first week after KTx and assess its performance in predicting DGF (dialysis requirement during initial posttransplant week) and graft function throughout first year. Urine samples were collected on post-KTx days 0, 1, 2, 4, and 7. Linear mixed and multivariable regression models, receiver-operating characteris

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