Several properties of hypergeometric Bernoulli numbers
Number Theory
2018-10-02 v2
Abstract
In this paper, we give the determinant expressions of the hypergeometric Bernoulli numbers, and some relations between the hypergeometric and the classical Bernoulli numbers which include Kummer's congruences. By applying Trudi's formula, we have some different expressions and inversion relations. We also determine explicit forms of convergents of the generating function of the hypergeometric Bernoulli numbers, from which several identities for hypergeometric Bernoulli numbers are given.
Cite
@article{arxiv.1803.07804,
title = {Several properties of hypergeometric Bernoulli numbers},
author = {Miho Aoki and Takao Komatsu and Gopal Krishna Panda},
journal= {arXiv preprint arXiv:1803.07804},
year = {2018}
}