Unification of q-exponential function and related q-numbers and polynomials
Complex Variables
2018-10-24 v2
Abstract
The main purpose of this paper is to introduce and investigate a class of generalized Bernoulli polynomials and Euler polynomials based on the generating function. we unify all forms of q-exponential functions by one more parameter. we study some conditions on this parameter to related this to some classical results for q-Bernoulli numbers and polynomials.
Keywords
Cite
@article{arxiv.1808.10534,
title = {Unification of q-exponential function and related q-numbers and polynomials},
author = {N. I. Mahmudov and Mohammad Momenzadeh},
journal= {arXiv preprint arXiv:1808.10534},
year = {2018}
}