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Journal articles on the topic 'Multivariable I -function'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

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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2

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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3

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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4

Bahar, Dinçer. "Examination of the Concept Images of Pre-service Teachers for Single-Variable and Multi-Variable." Education Quarterly Reviews 5, Special issue 2 (2022): 788–98. https://doi.org/10.31014/aior.1993.05.04.660.

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This study aims to examine the concept images of pre-service mathematics teachers for the concepts of single-variable and multivariable functions. In the present research, which was conducted with the case study method, a test consisting of three open-ended questions was used to obtain data about the definition of the concept of function and the concept images of the single and multivariate functions of the pre-service teachers. The data obtained were coded with the descriptive analysis method and analyzed qualitatively. Each coding was given as a theme with frequency and percentage values and

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5

Ayant, F. Y. "Multiple Integrals Involving The Spheroidal Function, A Class of Polynomials Multivariable Aleph-Functions and Multivariable I-Function." International Journal of Mathematics Trends and Technology 54, no. 1 (2018): 78–86. http://dx.doi.org/10.14445/22315373/ijmtt-v54p509.

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6

Ayant, F. Y. "Integral involving a generalized multiple-index Mittag-Leffler function, Bessel functions, a class of polynomials multivariable Aleph-function and multivariable I-function." International Journal of Mathematics Trends and Technology 53, no. 1 (2018): 1–8. http://dx.doi.org/10.14445/22315373/ijmtt-v53p501.

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7

Ayant, F. Y. "Integral involving a generalized multiple-index Mittag-Leffler function, Bessel functions, a class of polynomials multivariable Aleph-function and multivariable I-function." International Journal of Mathematics Trends and Technology 53, no. 1 (2018): 13–21. http://dx.doi.org/10.14445/22315373/ijmtt-v53p503.

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8

Qu, Han Zhang, and Jing Yang. "Continuous Wavelet Transforms of Multivariable Abstract Function Spaces." Advanced Materials Research 159 (December 2010): 199–204. http://dx.doi.org/10.4028/www.scientific.net/amr.159.199.

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An abstract function space is proposed and discussed. One-dimensional continuous wavelet transform is applied to the continuous wavelet transforms of the multivariable abstract function spaces .The reconstruction formulas of it produced by the integral kernel of the transform multivariable abstract functions and those of it produced by the integral kernel of the multivariable abstract functions which are difference from the transform multivariable abstract functions are obtained in the weak topology as well as in the sense of norm convergence.

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9

Ayant, F. Y. "Integral involving a generalized multiple-index Mittag-Leffler function,trigonometric functions, a class of polynomials multivariable Aleph-function and multivariable I-function I." International Journal of Mathematics Trends and Technology 49, no. 1 (2017): 1–10. http://dx.doi.org/10.14445/22315373/ijmtt-v49p501.

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10

Ayant, F. Y. "Integral involving a generalized multiple-index Mittag-Leffler function,trigonometric functions, a class of polynomials multivariable Aleph-function and multivariable I-function I." International Journal of Mathematics Trends and Technology 49, no. 1 (2017): 11–19. http://dx.doi.org/10.14445/22315373/ijmtt-v49p502.

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11

Ayant, F. Y. "Integral involving a generalized multiple-index Mittag-Leffler function, Bessel functions, a class of polynomials multivariable Aleph-function and multivariable I-function I." International Journal of Mathematics Trends and Technology 49, no. 1 (2017): 20–28. http://dx.doi.org/10.14445/22315373/ijmtt-v49p503.

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12

Ayant, F. Y. "Integral involving a generalized multiple-index Mittag-Leffler function, Bessel functions, a class of polynomials multivariable Aleph-function and multivariable I-function II." International Journal of Mathematics Trends and Technology 49, no. 1 (2017): 29–37. http://dx.doi.org/10.14445/22315373/ijmtt-v49p504.

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13

Ayant, F. Y. "Integral involving the extension of the Hurwitz-Lerch Zeta function, Bessel functions, a class of polynomials multivariable Aleph-function and multivariable I-function." International Journal of Mathematics Trends and Technology 49, no. 1 (2017): 38–46. http://dx.doi.org/10.14445/22315373/ijmtt-v49p505.

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14

Ayant, F. Y. "Integral involving a generalized multiple-index Mittag-Leffler function,hyperbolic functions, a class of polynomials multivariable Aleph-function and multivariable I-function I." International Journal of Mathematics Trends and Technology 53, no. 2 (2018): 126–36. http://dx.doi.org/10.14445/22315373/ijmtt-v53p515.

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15

Kumar, Dinesh, and Frederic Ayant. "Fractional calculus pertaining to multivariable Aleph-function." Boletim da Sociedade Paranaense de Matemática 40 (January 1, 2022): 1–10. http://dx.doi.org/10.5269/bspm.42941.

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In this paper we study a pair of unied and extended fractional integral operator involving the multivariable Aleph-function, Aleph-function and general class of polynomials. During this study, we establish ve theorems pertaining to Mellin transforms of these operators. Furthers, some properties of these operators have also been investigated. On account of the general nature of the functions involved herein, a large number of (known and new) fractional integral operators involved simpler functions can also be obtained . We will quote the particular case concerning the multivariable I-function d

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16

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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17

Sahai, Vivek, and Ashish Verma. "Recursion formulas for multivariable hypergeometric functions." Asian-European Journal of Mathematics 08, no. 04 (2015): 1550082. http://dx.doi.org/10.1142/s1793557115500825.

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Recently, Opps, Saad and Srivastava [Recursion formulas for Appell’s hypergeometric function [Formula: see text] with some applications to radiation field problems, Appl. Math. Comput. 207 (2009) 545–558] presented the recursion formulas for Appell’s function [Formula: see text] and also gave its applications to radiation field problems. Then Wang [Recursion formulas for Appell functions, Integral Transforms Spec. Funct. 23(6) (2012) 421–433] obtained the recursion formulas for Appell functions [Formula: see text] and [Formula: see text]. In our investigation here, we derive the recursion form

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18

Ayant, F. Y. "Finite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions dilogarithm function and the multivariable I-function." International Journal of Mathematics Trends and Technology 48, no. 1 (2017): 60–71. http://dx.doi.org/10.14445/22315373/ijmtt-v48p508.

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19

Ayant, F. Y. "Integral involving a generalized multiple-index Mittag-Leffler function, product of Bessel's functions, a class of polynomials multivariable Aleph-function and multivariable I-function." International Journal of Mathematics Trends and Technology 53, no. 2 (2018): 81–89. http://dx.doi.org/10.14445/22315373/ijmtt-v53p511.

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20

AY ANT, F. Y. "Fractional derivative associated with the multivariable I-function, the generalized Wright function and multivariable polynomials." International Journal of Mathematics Trends and Technology 44, no. 4 (2017): 197–205. http://dx.doi.org/10.14445/22315373/ijmtt-v44p531.

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21

LIEB, ELLIOTT H., and GERT K. PEDERSEN. "CONVEX MULTIVARIABLE TRACE FUNCTIONS." Reviews in Mathematical Physics 14, no. 07n08 (2002): 631–48. http://dx.doi.org/10.1142/s0129055x02001260.

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For any densely defined, lower semi-continuous trace τ on a C*-algebra A with mutually commuting C*-subalgebras A1, A2, … An, and a convex function f of n variables, we give a short proof of the fact that the function (x1, x2, …, xn)→ τ (f (x1, x2, …, xn)) is convex on the space [Formula: see text]. If furthermore the function f is log-convex or root-convex, so is the corresponding trace function. We also introduce a generalization of log-convexity and root-convexity called ℓ-convexity, show how it applies to traces, and give some examples. In particular we show that the Kadison–Fuglede determ

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22

Qu, Han Zhang. "Some Partial Differential Equations of Multivariable Vector Functions and the Integral Equations of Multivariable Vector Functions." Advanced Materials Research 159 (December 2010): 205–9. http://dx.doi.org/10.4028/www.scientific.net/amr.159.205.

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The relations between the partial differential equations of multivariable vector functions and the integral equations of multivariable vector functions which are correspond to them are discussed. The partial differential linear equations of multivariable vector functions can be transformed into the integral linear equations of multivariable vector functions by using the continuous wavelet transforms of multivariable vector function spaces. The result that in the weak topology the partial differential equations of multivariable vector functions are equivalent to the integral equations of multiv

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23

AY ANT, F. Y. "Selberg integral involving the sequence of functions,a class of pol,ynomials , a multivariable I-function and a multivariable A-function." International Journal of Mathematics Trends and Technology 41, no. 2 (2017): 127–36. http://dx.doi.org/10.14445/22315373/ijmtt-v41p511.

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24

AY ANT, F. Y. "Selberg integral involving the S generalized Gauss's hypergeometric function, a class of polynomials the multivariable I-function and multivariable Aleph-functions." International Journal of Mathematics Trends and Technology 41, no. 4 (2017): 404–12. http://dx.doi.org/10.14445/22315373/ijmtt-v41p539.

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25

Ayant, F. Y. "Multiple Integral of The Sequence of Functions, A General Class of Polynomials, The Multivariable Aleph-Function and The Multivariable I-Function." International Journal of Mathematics Trends and Technology 54, no. 1 (2018): 60–68. http://dx.doi.org/10.14445/22315373/ijmtt-v54p507.

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26

Kulmitra, Mausmi, and Surendra Kumar Tiwari. "Investigation of Integral Transformation Associated with Extended Generalized Srivastava’s Hypergeometric Multi Variable Special Function." Mikailalsys Journal of Advanced Engineering International 1, no. 1 (2024): 57–73. http://dx.doi.org/10.58578/mjaei.v1i1.2806.

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In recent year study on multivariate special functions and Integral transformation have been booming. In this work, we have focused on Srivastava hypergeometric function , , and with triple variable. We have discussed the literature study and motivation from the recent works on the extension of Srivastava’s multivariable hypergeometric function , , and . In this paper, the extension of , , and is studied based on the generalized beta function and the generalized Pochhammer’s symbol . Furthermore, the Mellin integral transformation and Inverse Mellin integral transformation have been studied fo

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27

Ayant, F. Y. "Finite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions Bessels function and the multivariable I-function I." International Journal of Mathematics Trends and Technology 48, no. 1 (2017): 72–80. http://dx.doi.org/10.14445/22315373/ijmtt-v48p509.

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28

Ayant, F. Y. "Finite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions Bessels function and the multivariable I-function II." International Journal of Mathematics Trends and Technology 48, no. 1 (2017): 81–89. http://dx.doi.org/10.14445/22315373/ijmtt-v48p510.

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29

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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30

ant, F. Y. Ay. "N-Fractional Calculus and Multivariable Aleph Function and Generalized Multivariable Polynomials." International Journal of Mathematics Trends and Technology 55, no. 1 (2018): 1–9. http://dx.doi.org/10.14445/22315373/ijmtt-v55p501.

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31

ant, F. Y. Ay. "N-Fractional Calculus and Multivariable I-Function and Generalized Multivariable Polynomials." International Journal of Mathematics Trends and Technology 55, no. 2 (2018): 117–26. http://dx.doi.org/10.14445/22315373/ijmtt-v55p515.

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32

Ayant, F. Y. "integral involving a generalized multiple-index Mittag-Leffler function, Bessel function, a class of polynomials multivariable Aleph-function and multivariable I-function." International Journal of Mathematics Trends and Technology 48, no. 2 (2017): 90–97. http://dx.doi.org/10.14445/22315373/ijmtt-v48p511.

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33

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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34

Ayant, F. Y. "Summation formulae for multivariable Aleph-function." International Journal of Mathematics Trends and Technology 32, no. 1 (2016): 44–50. http://dx.doi.org/10.14445/22315373/ijmtt-v32p508.

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35

Ayant, F. Y. "Some Integrals Involving Multivariable Gimel-Function." International Journal of Mathematics Trends and Technology 59, no. 2 (2018): 77–84. http://dx.doi.org/10.14445/22315373/ijmtt-v59p512.

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36

Ayant, F. Y. "Double Integrals Involving Multivariable Gimel-Function." International Journal of Mathematics Trends and Technology 59, no. 5 (2018): 293–99. http://dx.doi.org/10.14445/22315373/ijmtt-v59p541.

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37

Ayant, Frédéric. "Eulerian integrals of multivariable Gimel-function." International Journal of Mathematics Trends and Technology 60, no. 1 (2018): 1–8. http://dx.doi.org/10.14445/22315373/ijmtt-v60p501.

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38

Ayant, Frederic. "Integrals Involving The Multivariable Beth-Function." International Journal of Mathematics Trends and Technology 62, no. 1 (2018): 46–54. http://dx.doi.org/10.14445/22315373/ijmtt-v62p508.

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39

Geronimo, Jeffrey S., and Plamen Iliev. "Multivariable Askey–Wilson function and bispectrality." Ramanujan Journal 24, no. 3 (2011): 273–87. http://dx.doi.org/10.1007/s11139-010-9244-3.

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40

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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41

Ayant, F. Y. "Multiple Integrals Involving The S Generalized Gauss's Hypergeometric Function, Class of Polynomials, Multivariable Aleph-Function and Multivariable I-Function I." International Journal of Mathematics Trends and Technology 54, no. 2 (2018): 156–63. http://dx.doi.org/10.14445/22315373/ijmtt-v54p517.

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42

Ayant, F. Y. "Integral involving the extension of the Hurwitz-Lerch Zeta function,Bessel functions, a Jacobi polynomial,a class of polynomials, a multivariable Aleph-function and multivariable I-function." International Journal of Mathematics Trends and Technology 49, no. 1 (2017): 47–55. http://dx.doi.org/10.14445/22315373/ijmtt-v49p506.

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43

Ayant, F. Y. "Generalized finite integral involving a sequence of functions, a general class of polynomials,the multivariable Aleph-function and the multivariable I-function I." International Journal of Mathematics Trends and Technology 48, no. 1 (2017): 24–32. http://dx.doi.org/10.14445/22315373/ijmtt-v48p504.

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44

Ayant, F. Y. "Generalized finite integral involving a sequence of functions, a general class of polynomials,the multivariable Aleph-function and the multivariable I-function II." International Journal of Mathematics Trends and Technology 48, no. 1 (2017): 33–41. http://dx.doi.org/10.14445/22315373/ijmtt-v48p505.

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45

Ayant, F. Y. "Generalized finite integral involving a sequence of functions, a general class of polynomials,the multivariable Aleph-function and the multivariable I-function III." International Journal of Mathematics Trends and Technology 48, no. 1 (2017): 42–50. http://dx.doi.org/10.14445/22315373/ijmtt-v48p506.

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46

Ayant, F. Y. "Generalized finite integral involving a sequence of functions, a general class of polynomials,the multivariable Aleph-function and the multivariable I-function IV." International Journal of Mathematics Trends and Technology 48, no. 1 (2017): 51–59. http://dx.doi.org/10.14445/22315373/ijmtt-v48p507.

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47

Ayant, Frederic. "Generalized Elliptic-Type Integrals and Generating Functions with Multivariable Aleph-Function." International Journal of Mathematics Trends and Technology 51, no. 2 (2017): 149–61. http://dx.doi.org/10.14445/22315373/ijmtt-v51p519.

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48

Sheng, Qiu Hui, and Han Lin Chen. "Characterising the Accuracy of Multivariable Refinable Functions via the Symbol Function." Acta Mathematica Sinica, English Series 17, no. 2 (2001): 277–86. http://dx.doi.org/10.1007/pl00011602.

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49

Sheng, Qiu Hui, and Han Lin Chen. "Characterising the Accuracy of Multivariable Refinable Functions via the Symbol Function." Acta Mathematica Sinica, English Series 17, no. 2 (2001): 277–86. http://dx.doi.org/10.1007/s101149900014.

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50

Nguyen, Them V. "Modeling the stem taper functions for Acacia hybrid in Dong Nai province." Journal of Agriculture and Development 22, no. 04 (2023): 12–22. http://dx.doi.org/10.52997/jad.2.04.2023.

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The objective of this study was to construct appropriate stem taper functions at the individual tree level of Acacia hybrid plantations. The stem taper functions were constructed from 150 sample trees at the age of 3 - 10 years in which their diameter at breast height ranged from 4 - 24 cm. The appropriate stem taper functions were constructed and tested from 2 forms of candidate functions. The form 1 was a multivariable stem taper function and form 2 was a single-variable stem taper function. The research results showed that the deviation of the multivariable outsidebark stem taper function w

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