Results 1 to 10 of about 444,488 (134)
A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials [PDF]
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 generalized degenerate Euler–Genocchi polynomials [PDF]
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 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
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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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Applied Mathematics in Science and Engineering, 2023 In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan +3 more
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Various Types of q-Differential Equations of Higher Order for q-Euler and q-Genocchi Polynomials
Mathematics, 2022 One finds several q-differential equations of a higher order for q-Euler polynomials and q-Genocchi polynomials. Additionally, we have a few q-differential equations of a higher order, which are mixed with q-Euler numbers and q-Genocchi polynomials ...
Cheon-Seoung Ryoo, Jung-Yoog Kang
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A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain Properties
Journal of Function Spaces, 2021 In this paper, we introduce a new type of degenerate Genocchi polynomials and numbers, which are called degenerate poly-Genocchi polynomials and numbers, by using the degenerate polylogarithm function, and we derive several properties of these ...
Waseem A. Khan +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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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
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