Results 11 to 20 of about 1,211 (149)
q-Genocchi Numbers and Polynomials Associated with q-Genocchi-Type l-Functions [PDF]
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
A note on degenerate Genocchi and poly-Genocchi numbers and polynomials [PDF]
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
Degenerate Changhee-Genocchi numbers and polynomials [PDF]
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
Arithmetic Identities Involving Genocchi and Stirling Numbers [PDF]
An explicit formula, the generalized Genocchi numbers, was established and some identities and congruences involving the Genocchi numbers, the Bernoulli numbers, and the Stirling numbers were obtained.
Guodong Liu
doaj +3 more sources
On Genocchi Numbers and Polynomials [PDF]
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
Novel Identities for 𝑞-Genocchi Numbers and Polynomials [PDF]
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
Combinatorics of k-shapes and Genocchi numbers [PDF]
In this paper we present a work in progress on a conjectural new combinatorial model for the Genocchi numbers. This new model called irreducible k-shapes has a strong algebraic background in the theory of symmetric functions and leads to seemingly new ...
Florent Hivert, Olivier Mallet
doaj +3 more sources
Identities on the Bernoulli and Genocchi Numbers and Polynomials [PDF]
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
Analytic Continuation of weighted q-Genocchi numbers and polynomials
In the present paper, we analyse analytic continuation of weighted q-Genocchi numbers and polynomials. A novel formula for weighted q-Genocchi- Zeta function {\zeta}G,q (s | {\alpha}) in terms of nested series of {\zeta}G,q (n | {\alpha}) is derived ...
Acikgoz, Mehmet +2 more
core +3 more sources
Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
In this paper, the author gives some new identities on Genocchi polynomials and Genocchi numbers.
Qing Zou
doaj +3 more sources

