On the integral of products of higher-order Bernoulli and Euler polynomials
Number Theory
2017-09-21 v1
Abstract
In this paper, we derive a formula on the integral of products of the higher-order Euler polynomials. By the same way, similar relations are obtained for higher-order Bernoulli polynomials and higher-order Euler polynomials. Moreover, we establish the connection between the results and the generalized Dedekind sums and Hardy--Berndt sums. Finally, the Laplace transform of Euler polynomials is given.
Keywords
Cite
@article{arxiv.1609.09336,
title = {On the integral of products of higher-order Bernoulli and Euler polynomials},
author = {M. Cihat Dagli and Mümün Can},
journal= {arXiv preprint arXiv:1609.09336},
year = {2017}
}