A new class of generalized Bernoulli polynomials and Euler polynomials
Classical Analysis and ODEs
2012-02-01 v1
Abstract
The main purpose of this paper is to introduce and investigate a new class of generalized Bernoulli polynomials and Euler polynomials based on the q-integers. The q-analogues of well-known formulas are derived. The q-analogue of the Srivastava--Pint\'er addition theorem is obtained. We give new identities involving q-Bernstein polynomials.
Keywords
Cite
@article{arxiv.1201.6633,
title = {A new class of generalized Bernoulli polynomials and Euler polynomials},
author = {Nazim I. Mahmudov},
journal= {arXiv preprint arXiv:1201.6633},
year = {2012}
}