A note on degenerate generalized Laguerre polynomials and Lah numbers
Classical Analysis and ODEs
2021-07-07 v1 Number Theory
Abstract
The aim of this paper is to introduce the degenerate generalized Laguerre polynomials as the degenerate version of the generalized Laguerre polynomials and to derive some properties related to those polynomials and Lah numbers, including an explicit expression, a Rodrigues' type formula and expressions for the derivatives. The novelty of the present paper is that it is the first paper on degenerate versions of orthogonal polynomials.
Cite
@article{arxiv.2107.02571,
title = {A note on degenerate generalized Laguerre polynomials and Lah numbers},
author = {Taekyun Kim and Dmitry V. Dolgy and Dae san Kim and Hye Kyung Kim and Seong Ho Park},
journal= {arXiv preprint arXiv:2107.02571},
year = {2021}
}
Comments
10 pages