Results 11 to 20 of about 444,557 (182)

Representation by Degenerate Genocchi Polynomials [PDF]

open access: yesJournal 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
doaj   +4 more sources

Poly-Genocchi polynomials and its applications

open access: yesAIMS Mathematics, 2021
In this paper, we discussed some new properties on the newly defined family of Genocchi polynomials, called poly-Genocchi polynomials. These polynomials are extensions from the Genocchi polynomials via generating function involving polylogarithm function.
Chang Phang   +2 more
doaj   +3 more sources

On Genocchi Numbers and Polynomials [PDF]

open access: yesAbstract 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
doaj   +3 more sources

A note on degenerate Genocchi and poly-Genocchi numbers and polynomials [PDF]

open access: yesJournal 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
doaj   +2 more sources

q-Genocchi Numbers and Polynomials Associated with q-Genocchi-Type l-Functions [PDF]

open access: yesAdvances 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
doaj   +4 more sources

Degenerate Poly-Lah-Bell Polynomials and Numbers

open access: yesJournal of Mathematics, 2022
Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
doaj   +2 more sources

Fourier Series for the Tangent Polynomials, Tangent–Bernoulli and Tangent–Genocchi Polynomials of Higher Order

open access: yesAxioms, 2022
In this paper, the Fourier series expansion of Tangent polynomials of higher order is derived using the Cauchy residue theorem. Moreover, some variations of higher-order Tangent polynomials are defined by mixing the concept of Tangent polynomials with ...
Cristina Bordaje Corcino   +1 more
doaj   +2 more sources

Degenerate Changhee-Genocchi numbers and polynomials [PDF]

open access: yesJournal 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
doaj   +2 more sources

Interpolation function of the genocchi type polynomials

open access: yes, 2010
The main purpose of this paper is to construct not only generating functions of the new approach Genocchi type numbers and polynomials but also interpolation function of these numbers and polynomials which are related to a, b, c arbitrary positive real ...
Apostol T. M.   +23 more
core   +2 more sources

Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials

open access: yesMathematics, 2023
The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials.
S. Wani   +3 more
semanticscholar   +3 more sources

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