Results 11 to 20 of about 1,331 (139)
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
doaj +3 more sources
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
doaj +3 more sources
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
doaj +2 more sources
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
doaj +3 more sources
Identities on the Bernoulli and Genocchi Numbers and Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We give some interesting identities on the Bernoulli numbers and polynomials, on the Genocchi numbers and polynomials by using symmetric properties of the Bernoulli and Genocchi polynomials.
Seog-Hoon Rim +2 more
doaj +3 more sources
Degenerate Poly-Lah-Bell Polynomials and Numbers
Journal 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
A note on degenerate poly-Genocchi numbers and polynomials [PDF]
Advances in Difference Equations, 2020 Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
doaj +2 more sources
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
doaj +4 more sources
Novel Identities for 𝑞-Genocchi Numbers and Polynomials [PDF]
Journal of Function Spaces and Applications, 2012 The essential aim of this paper is to introduce novel identities for q-Genocchi numbers and polynomials by using the method by T. Kim et al. (article in press). We show that these polynomials are related to p-adic analogue of Bernstein polynomials. Also,
Serkan Araci
doaj +3 more sources
Interpolation function of the genocchi type polynomials
, 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