Some Results for the Apostol-Genocchi Polynomials of Higher Order
Number Theory
2012-10-23 v1
Abstract
The present paper deals with multiplication formulas for the Apostol-Genocchi polynomials of higher order and deduces some explicit recursive formulas. Some earlier results of Carlitz and Howard in terms of Genocchi numbers can be deduced. We introduce the 2-variable Apostol-Genocchi polynomials and then we consider the multiplication theorem for 2-variable Genocchi polynomials. Also we introduce generalized Apostol-Genocchi polynomials with a; b; c parameters and we obtain several identities on generalized Apostol-Genocchi polynomials with a; b; c parameters
Keywords
Cite
@article{arxiv.1104.1501,
title = {Some Results for the Apostol-Genocchi Polynomials of Higher Order},
author = {Hassan Jolany and Hesam Sharifi},
journal= {arXiv preprint arXiv:1104.1501},
year = {2012}
}
Comments
18 pages