A finite sum involving generalized falling factorial polynomials and degenerate Eulerian polynomials
Number Theory
2023-01-11 v1
Abstract
The aim of this paper is twofold. Firstly, we investigate a finite sum involving the generalized falling factorial polynomials, in some special cases of which we express it in terms of the degenerate Stirling numbers of the second kind, the degenerate Bernoulli polynomials and the degenerate Frobenius-Euler polynomials. Secondly, we consider the degenerate Eulerian polynomials and deduce the generating function and a recurrence relation for them.
Keywords
Cite
@article{arxiv.2112.11039,
title = {A finite sum involving generalized falling factorial polynomials and degenerate Eulerian polynomials},
author = {Taekyun Kim and Dae San Kim},
journal= {arXiv preprint arXiv:2112.11039},
year = {2023}
}
Comments
10 pages