An explicit Formula for Bernoulli Polynomials with a $q$ Parameter in Terms of $r$-Whitney Numbers
Combinatorics
2018-11-16 v1
Abstract
We define the Bernoulli polynomials with a parameter in terms of -Whitney numbers of the second kind. Some algebraic properties and combinatorial identities of these polynomials are given. Also, we obtain several relations between the Cauchy and Bernoulli polynomials with a parameter in terms of -Whitney numbers of both kinds.
Keywords
Cite
@article{arxiv.1804.05437,
title = {An explicit Formula for Bernoulli Polynomials with a $q$ Parameter in Terms of $r$-Whitney Numbers},
author = {F. A. Shiha},
journal= {arXiv preprint arXiv:1804.05437},
year = {2018}
}
Comments
6 pages