Hankel Determinants of shifted sequences of Bernoulli and Euler numbers
Number Theory
2021-05-06 v1
Abstract
Hankel determinants of sequences related to Bernoulli and Euler numbers have been studied before, and numerous identities are known. However, when a sequence is shifted by one unit, the situation often changes significantly. In this paper we use classical orthogonal polynomials and related methods to prove a general result concerning Hankel determinants for shifted sequences. We then apply this result to obtain new Hankel determinant evaluations for a total of sequences related to Bernoulli and Euler numbers, one of which concerns Euler polynomials.
Keywords
Cite
@article{arxiv.2105.01880,
title = {Hankel Determinants of shifted sequences of Bernoulli and Euler numbers},
author = {Karl Dilcher and Lin Jiu},
journal= {arXiv preprint arXiv:2105.01880},
year = {2021}
}