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Artykuły w czasopismach na temat „Generalized Multi poly-Euler polynomials”

Autor: Grafiati
Data publikacji: 3 czerwca 2025
Data aktualizacji: 31 lipca 2025

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Sprawdź 19 najlepszych artykułów w czasopismach naukowych na temat „Generalized Multi poly-Euler polynomials”.

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1

Corcino, Roberto B., Hassan Jolany, Cristina B. Corcino, and Takao Komatsu. "On Generalized Multi Poly-Euler Polynomials." Fibonacci Quarterly 55, no. 1 (2017): 41–53. http://dx.doi.org/10.1080/00150517.2017.12427790.

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2

Kim, Taekyun, Dae San Kim, Jin-Woo Park, and Jongkyum Kwon. "A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials." Journal of Mathematics 2023 (August 26, 2023): 1–7. http://dx.doi.org/10.1155/2023/3810046.

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Recently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. The aim of this note is to study the multi-Euler–Genocchi and degenerate multi-Euler–Genocchi polynomials which are defined by means of the multiple logarithm and generalize, respectively, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials. Especially, we express the former by the generalized Euler–Genocchi polynomials, the multi-Stirling numbers of the first kind and Stirling numbers of the second kind, and the latter by the generalized degenerate Eu
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3

El-Desouky, Beih, Rabab Gomaa, and Alia Magar. "The multi-variable unified family of generalized Apostol-type polynomials." Applicable Analysis and Discrete Mathematics, no. 00 (2020): 15. http://dx.doi.org/10.2298/aadm190405015e.

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The aim of this paper is to investigate and give a new family of multi-variable Apostol-type polynomials. This family is related to Apostol-Euler, Apostol-Bernoulli, Apostol-Genocchi and Apostol-laguerre polynomials. Moreover, we derive some implicit summation formulae and general symmetry identities. The new family of polynomials introduced here, gives many interesting special cases.
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4

Sweilam, N. H., S. M. AL-Mekhlafi, and D. Baleanu. "Efficient numerical treatments for a fractional optimal control nonlinear Tuberculosis model." International Journal of Biomathematics 11, no. 08 (2018): 1850115. http://dx.doi.org/10.1142/s1793524518501152.

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In this paper, the general nonlinear multi-strain Tuberculosis model is controlled using the merits of Jacobi spectral collocation method. In order to have a variety of accurate results to simulate the reality, a fractional order model of multi-strain Tuberculosis with its control is introduced, where the derivatives are adopted from Caputo’s definition. The shifted Jacobi polynomials are used to approximate the optimality system. Subsequently, Newton’s iterative method will be used to solve the resultant nonlinear algebraic equations. A comparative study of the values of the objective functio
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5

Araci, Serkan, Mumtaz Riyasat, Shahid Wani, and Subuhi Khan. "A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications." Symmetry 10, no. 11 (2018): 652. http://dx.doi.org/10.3390/sym10110652.

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The article is written with the objectives to introduce a multi-variable hybrid class, namely the Hermite–Apostol-type Frobenius–Euler polynomials, and to characterize their properties via different generating function techniques. Several explicit relations involving Hurwitz–Lerch Zeta functions and some summation formulae related to these polynomials are derived. Further, we establish certain symmetry identities involving generalized power sums and Hurwitz–Lerch Zeta functions. An operational view for these polynomials is presented, and corresponding applications are given. The illustrative s
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6

Bilgic, Secil, and Veli Kurt. "On generalized q-poly-Bernoulli numbers and polynomials." Filomat 34, no. 2 (2020): 515–20. http://dx.doi.org/10.2298/fil2002515b.

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Many mathematicians in ([1],[2],[5],[14],[20]) introduced and investigated the generalized q-Bernoulli numbers and polynomials and the generalized q-Euler numbers and polynomials and the generalized q-Gennochi numbers and polynomials. Mahmudov ([15],[16]) considered and investigated the q-Bernoulli polynomials B(?)n,q(x,y) in x,y of order ? and the q-Euler polynomials E(?) n,q (x,y)in x,y of order ?. In this work, we define generalized q-poly-Bernoulli polynomials B[k,?] n,q (x,y) in x,y of order ?. We give new relations between the generalized q-poly-Bernoulli polynomials B[k,?] n,q (x,y) in
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7

Kurt, Veli. "On the generalized q-poly-Euler polynomials of the second kind." Filomat 34, no. 2 (2020): 475–82. http://dx.doi.org/10.2298/fil2002475k.

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In this work, we define the generalized q-poly-Euler numbers of the second kind of order ? and the generalized q-poly-Euler polynomials of the second kind of order ?. We investigate some basic properties for these polynomials and numbers. In addition, we obtain many identities, relations including the Roger-Sz?go polynomials, the Al-Salam Carlitz polynomials, q-analogue Stirling numbers of the second kind and two variable Bernoulli polynomials.
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8

Khan, Waseem Ahmad, Mehmet Acikgoz, and Ugur Duran. "Note on the Type 2 Degenerate Multi-Poly-Euler Polynomials." Symmetry 12, no. 10 (2020): 1691. http://dx.doi.org/10.3390/sym12101691.

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Kim and Kim (Russ. J. Math. Phys. 26, 2019, 40-49) introduced polyexponential function as an inverse to the polylogarithm function and by this, constructed a new type poly-Bernoulli polynomials. Recently, by using the polyexponential function, a number of generalizations of some polynomials and numbers have been presented and investigated. Motivated by these researches, in this paper, multi-poly-Euler polynomials are considered utilizing the degenerate multiple polyexponential functions and then, their properties and relations are investigated and studied. That the type 2 degenerate multi-poly
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9

Corcino, Roberto, Cristina Corcino, and Waseem Khan. "On Type 2 Degenerate Poly-Frobenius-Euler Polynomials." Recoletos Multidisciplinary Research Journal 13, no. 1 (2025): 13–31. https://doi.org/10.32871/rmrj2513.01.02.

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Background: This paper introduces a class of special polynomials called Type 2 degenerate poly-Frobenius-Euler polynomials, defined using the polyexponential function. Motivated by the expanding theory of degenerate versions of classical polynomials, the paper seeks to enrich the mathematical landscape by constructing generalized structures with deeper combinatorial and analytic properties. Methods: The study employs the method of generating functions combined with Cauchy's rule for the product of two series to derive explicit formulas and identities, enabling systematic manipulation of series
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10

Jolany, Hassan, Roberto B. Corcino, and Takao Komatsu. "More properties on multi-poly-Euler polynomials." Boletín de la Sociedad Matemática Mexicana 21, no. 2 (2015): 149–62. http://dx.doi.org/10.1007/s40590-015-0061-y.

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11

Corcino, Roberto Bagsarsa, and Cristina Corcino. "Generalized Laguerre-Apostol-Frobenius-Type Poly-Genocchi Polynomials of Higher Order with Parameters a, b and c." European Journal of Pure and Applied Mathematics 15, no. 4 (2022): 1549–65. http://dx.doi.org/10.29020/nybg.ejpam.v15i4.4505.

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 In this paper, the generalized Laguerre-Apostol-Frobenius-type poly-Genocchi polyno- mials of higher order with parameters a, b and c are defined using the concept of polylogarithm, Laguerre, Apostol and Frobenius polynomials. These polynomials possess numerous properties including recurrence relations, explicit formulas and certain differential identity. Moreover, some connections of these higher order generalized Laguerre-Apostol-Frobenius-type poly-Genocchi poly- nomials to Stirling numbers of the second kind and different variations of higher order Euler and Ber
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12

Khan, N. U., and T. Usman. "A New Class of Laguerre-Based Poly-Euler and Multi Poly-Euler Polynomials." Journal of Analysis & Number Theory 4, no. 2 (2016): 113–20. http://dx.doi.org/10.18576/jant/040205.

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13

Corcino, Roberto Bagsarsa, Mark Laurente, and Mary Ann Ritzell Vega. "On Multi Poly-Genocchi Polynomials with Parameters a, b and c." European Journal of Pure and Applied Mathematics 13, no. 3 (2020): 444–58. http://dx.doi.org/10.29020/nybg.ejpam.v13i3.3676.

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Most identities of Genocchi numbers and polynomials are related to the well-knownBenoulli and Euler polynomials. In this paper, multi poly-Genocchi polynomials withparameters a, b and c are dened by means of multiple parameters polylogarithm. Several properties of these polynomials are established including some recurrence relations and explicit formulas.
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14

CAMPILLO, A., F. DELGADO, and S. M. GUSEIN-ZADE. "THE ALEXANDER POLYNOMIAL OF A PLANE CURVE SINGULARITY AND INTEGRALS WITH RESPECT TO THE EULER CHARACTERISTIC." International Journal of Mathematics 14, no. 01 (2003): 47–54. http://dx.doi.org/10.1142/s0129167x03001703.

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It was shown that the Alexander polynomial (of several variables) of a (reducible) plane curve singularity coincides with the (generalized) Poincaré polynomial of the multi-indexed filtration defined by the curve on the ring [Formula: see text] of germs of functions of two variables. The initial proof of the result was rather complicated (it used analytical, topological and combinatorial arguments). Here we give a new proof based on the notion of the integral with respect to the Euler characteristic over the projectivization of the space [Formula: see text] — the notion similar to (and inspire
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15

Pan, Linyu, and Yuanpeng Zhu. "Grey Model Prediction Enhancement via Bernoulli Equation with Dynamic Polynomial Terms." Symmetry 17, no. 5 (2025): 713. https://doi.org/10.3390/sym17050713.

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The grey prediction model is designed to characterize systems comprising both partially known information (referred to as white) and partially unknown dynamics (referred to as black). However, traditional GM(1,1) models are based on linear differential equations, which limits their capacity to capture nonlinear and non-stationary behaviors. To address this issue, this paper develops a generalized grey differential prediction approach based on the Bernoulli equation framework. We incorporate the Bernoulli mechanism with a nonlinear exponent n and a dynamic polynomial-driven term. In this work,
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16

Alekseev, Aleksander. "CONTROL OF A COMPLEX OBJECTS, STATES OF WHICH ARE DESCRIBING BY THE MATRIX RATING MECHANISM." Applied Mathematics and Control Sciences, no. 1 (March 27, 2020): 114–39. http://dx.doi.org/10.15593/2499-9873/2020.1.08.

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The control problem of a multi-criteria object is considered. Controlled object that has several criteria that are significant for a decision maker. Each criterion characterizes a control object in terms of a particular result of activity or an efficiency indicator. To evaluate the effectiveness of the functioning of the managed facility as a whole, the rating matrix mechanism is used, taking into account all the criteria in the complex. The optimal control problem is formulated as a search for the values ​​of aggregated criteria that provide a given value of a complex indicator with minimal c
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17

Hassan, Jolany, Mohebbi Hossein, and Alikelaye R.Eizadi. "Some Results on Generalized Multi Poly-Bernoulli and Euler Polynomials." May 30, 2011. https://doi.org/10.5281/zenodo.821407.

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The Arakawa-Kaneko zeta function has been introduced ten years ago by T. Arakawa and M. Kaneko in [22]. In [22], Arakawa and Kaneko have expressed the special values of this function at negative integers with the help of generalized Bernoulli numbers B(k) called poly-Bernoulli numbers. Kim-Kim [4] introduced Multi poly- Bernoulli numbers and proved that special values of certain zeta functions at non-positive integers can be described in terms of these numbers.
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18

Aguilar-Porro, Cristina, Mario L. Ruz, and Francisco J. Blanco-Rodríguez. "A modified polynomial-based approach to obtaining the eigenvalues of a uniform Euler–Bernoulli beam carrying any number of attachments." Journal of Vibration and Control, June 13, 2023. http://dx.doi.org/10.1177/10775463231177335.

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Free vibration characteristics in uniform beams with several lumped attachments are an important problem in engineering applications that have to deal with mounting different equipment (e.g. motors, oscillators or engines) on a structural beam. In order to solve the lack of a generalized automatic procedure, this investigation presents a simple solving approach based on analytical means applied to a secular frequency equation for obtaining the natural frequencies of an arbitrarily supported single-span, or multi-span Euler–Bernoulli beam carrying any combination of miscellaneous attachments. T
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19

Aguilar, Cristina, Mario L. Ruz, and Francisco J. Blanco-Rodríguez. "A modified polynomial-based approach to obtaining the eigenvalues of a uniform Euler–Bernoulli beam carrying any number of attachments." Journal of vibration and control 30, no. 11-12 (2023). https://doi.org/10.1177/10775463231177335.

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Free vibration characteristics in uniform beams with several lumped attachments are an important problem in engineering applications that have to deal with mounting different equipment (e.g. motors, oscillators or engines) on a structural beam. In order to solve the lack of a generalized automatic procedure, this investigation presents a simple solving approach based on analytical means applied to a secular frequency equation for obtaining the natural frequencies of an arbitrarily supported single-span, or multi-span Euler–Bernoulli beam carrying any combination of miscellaneous attachme
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