Results 11 to 20 of about 1,211 (149)

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

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

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

Arithmetic Identities Involving Genocchi and Stirling Numbers [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2009
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]

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

Novel Identities for 𝑞-Genocchi Numbers and Polynomials [PDF]

open access: yesJournal 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

Combinatorics of k-shapes and Genocchi numbers [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
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]

open access: yesInternational 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

Analytic Continuation of weighted q-Genocchi numbers and polynomials

open access: yesCommunications of the Korean Mathematical Society, 2012
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

open access: yesInternational Journal of Analysis and Applications, 2017
In this paper, the author gives some new identities on Genocchi polynomials and Genocchi numbers.
Qing Zou
doaj   +3 more sources

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