Identities involving q-Genocchi numbers and polynomials
Number Theory
2015-06-03 v1
Abstract
In this paper, we focus on the q-Genocchi numbers and polynomials. We shall introduce new identities of the q-Genocchi numbers and polynomials by using the fermionic p-adic integral on Zp which are very important in the study of Frobenius-Genocchi numbers and polynomials. Also, we give Cauchy-integral formula for the q-Genocchi polynomials and moreover by using measure theory on p-adic integral we derive the distribution formula q-Genocchi polynomials. Finally, we present a new definition of q-Zeta-type function by using Mellin transformation which is the interpolation function of the q-Genocchi polynomials at negative integers.
Cite
@article{arxiv.1210.0847,
title = {Identities involving q-Genocchi numbers and polynomials},
author = {Serkan Araci and Mehmet Acikgoz and Hassan Jolany and Yuan He},
journal= {arXiv preprint arXiv:1210.0847},
year = {2015}
}
Comments
9 pages