Representations of degenerate Hermite polynomials
Number Theory
2020-10-29 v1
Abstract
We introduce degenerate Hermite polynomials as a degenerate version of the ordinary Hermite polynomials. Then, among other things, by using the formula about representing one lambda-Sheffer polynomial in terms of other lambda-Sheffer polynomials we represent the degenerate Hermite polynomials in terms of the higher-order degenerate Bernoulli, Euler, and Frobenius-Euler polynomials and vice versa.
Cite
@article{arxiv.2010.14696,
title = {Representations of degenerate Hermite polynomials},
author = {Taekyun Kim and Dae San Kim and Lee-Chae Jang and Hyunseok Lee and Hanyoung Kim},
journal= {arXiv preprint arXiv:2010.14696},
year = {2020}
}
Comments
14 pages