On the modified q-Genocchi numbers and polynomials and their applications
Number Theory
2013-11-26 v1
Abstract
The main objective of this paper is to introduce the modified q-Genocchi polynomials and to define their generating function. In the paper, we show new relations, which are explicit formula, derivative formula, multiplication formula, and some others, for mentioned q-Genocchi polynomials. By applying Mellin transformation to the generating function of the modified q-Genocchi polynomials, we define q-Genocchi zeta-type functions which are interpolated by the modified q-Genocchi polynomials at negative integers.
Keywords
Cite
@article{arxiv.1311.5992,
title = {On the modified q-Genocchi numbers and polynomials and their applications},
author = {Serkan Araci and Armen Bagdasaryan and Erkan Agyuz and Mehmet Acikgoz},
journal= {arXiv preprint arXiv:1311.5992},
year = {2013}
}
Comments
10 pages; submitted