Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
Number Theory
2019-07-04 v4
Abstract
In the present paper, we obtain new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived using a Bernoulli polynomial basis. Finally, by utilizing our method, we also derive formulas for the convolutions of Bernoulli and Euler polynomials, expressed via Apostol-Bernoulli polynomials of higher order.
Keywords
Cite
@article{arxiv.1311.4148,
title = {Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis},
author = {Armen Bagdasaryan and Serkan Araci and Mehmet Acikgoz and Yuan He},
journal= {arXiv preprint arXiv:1311.4148},
year = {2019}
}
Comments
8 pages, submitted