Results 1 to 10 of about 1,262 (94)
A new numerical scheme for solving system of Volterra integro-differential equation [PDF]
Alexandria Engineering Journal, 2018 In this article, we apply Genocchi polynomials to solve numerically a system of Volterra integro-differential equations. This is done by approximating functions using Genocchi polynomials and derivatives using Genocchi polynomials operational matrix of ...
Jian Rong Loh, Chang Phang
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Some New Formulae for Genocchi Numbers and Polynomials Involving Bernoulli and Euler Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2014 We give some new formulae for product of two Genocchi polynomials including Euler polynomials and Bernoulli polynomials. Moreover, we derive some applications for Genocchi polynomials to study a matrix formulation.
Serkan Araci +2 more
doaj +4 more sources
A Note on the q-Genocchi Numbers and Polynomials [PDF]
Journal of Inequalities and Applications, 2007 We discuss new concept of the q-extension of Genocchi numbers and give some relations between q-Genocchi polynomials and q-Euler numbers.
Taekyun Kim
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New Type of Degenerate Changhee–Genocchi Polynomials
Axioms, 2022 A remarkably large number of polynomials and their extensions have been presented and studied. In this paper, we consider a new type of degenerate Changhee–Genocchi numbers and polynomials which are different from those previously introduced by Kim.
Maryam Salem Alatawi, Waseem Ahmad Khan
exaly +3 more sources
On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials
Mathematics, 2020 In this paper, we introduce two bivariate kinds of poly-Bernoulli and poly-Genocchi polynomials and study their basic properties. Finally, we consider some relationships for Stirling numbers of the second kind related to bivariate kinds of poly-Bernoulli
Cheon Seoung Ryoo, Waseem Ahmad Khan
exaly +3 more sources
Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials
Mathematics, 2018 In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and summation-transform techniques, we
Yuan He, Serkan Araci, H M Srivastava
exaly +3 more sources
Shifted genocchi polynomials operational matrix for solving fractional order stiff system [PDF]
, 2021 In this paper, we solve the fractional order stiff system using shifted Genocchi poly nomials operational matrix. Different than the well known Genocchi polynomials, we shift the interval from [0, 1] to [1, 2] and name it as shifted Genocchi polynomials.
Chang Phang, Chang Phang +1 more
core +1 more source
A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials
Journal of Mathematics, 2023 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 ...
Taekyun Kim +3 more
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Journal of Function Spaces, 2023 The Genocchi polynomial has been increasingly used as a convenient tool to solve some fractional calculus problems, due to their nice properties. However, like some other members in the Appell polynomials, the nice properties are always limited to the ...
Jian Rong Loh +2 more
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On Some Arithmetical Properties of the Genocchi Numbers and Polynomials
Advances in Difference Equations, 2008 We investigate the properties of the Genocchi functions and the Genocchi polynomials. We obtain the Fourier transform on the Genocchi function. We have the generating function of (h,q)-Genocchi polynomials.
Kyoung Ho Park, Young-Hee Kim
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