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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
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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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On generalized degenerate Euler–Genocchi polynomials
Applied Mathematics in Science and Engineering, 2023 We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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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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On Genocchi Numbers and Polynomials [PDF]
Abstract and Applied Analysis, 2008 The main purpose of this paper is to study the distribution of Genocchi polynomials. Finally, we construct the Genocchi zeta function which interpolates Genocchi polynomials at negative integers.
Seog-Hoon Rim +2 more
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A note on degenerate Genocchi and poly-Genocchi numbers and polynomials [PDF]
Journal of Inequalities and Applications, 2020 Recently, Dolgy–Jang introduced the poly-Genocchi polynomials and numbers arising from the modified polyexponential function. In this paper, we study the degenerate poly-Genocchi polynomials and numbers constructed from the modified degenerate ...
Taekyun Kim +3 more
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q-Genocchi Numbers and Polynomials Associated with q-Genocchi-Type l-Functions [PDF]
Advances in Difference Equations, 2008 The main purpose of this paper is to study on generating functions of the q-Genocchi numbers and polynomials. We prove new relation for the generalized q-Genocchi numbers which is related to the q-Genocchi numbers and q-Bernoulli numbers.
Daeyeoul Kim +3 more
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Representation by Degenerate Genocchi Polynomials [PDF]
Journal of Mathematics, 2022 The aim of this study is to represent any polynomial in terms of the degenerate Genocchi polynomials and more generally of the higher-order degenerate Genocchi polynomials.
Taekyun Kim +3 more
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Degenerate Changhee-Genocchi numbers and polynomials [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we study some properties of degenerate Changhee-Genocchi numbers and polynomials and give some new identities of these polynomials and numbers which are derived from the generating function. In particular, we provide interesting identities
Byung Moon Kim +3 more
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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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