On Appell sequences of polynomials of Bernoulli and Euler type
Number Theory
2021-12-16 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
A construction of new sequences of generalized Bernoulli polynomials of first and second kind is proposed. These sequences share with the classical Bernoulli polynomials many algebraic and number--theoretical properties. A new class of Euler--type polynomials is also presented.
Keywords
Cite
@article{arxiv.math/0601675,
title = {On Appell sequences of polynomials of Bernoulli and Euler type},
author = {Piergiulio Tempesta},
journal= {arXiv preprint arXiv:math/0601675},
year = {2021}
}
Comments
20 pages, no figures. This is a revised version of the published paper. Some remarks have been added and misprints corrected