A note on degenerate generalized Laguerre polynomials and Lah numbers

A note on degenerate generalized Laguerre polynomials and Lah numbers

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...

Full description

Bibliographic Details
Main Authors: Taekyun Kim, Dmitry V. Dolgy, Dae San Kim, Hye Kyung Kim, Seong Ho Park
Format: Article
Language:English
Published: SpringerOpen 2021-09-01
Series:Advances in Difference Equations
Subjects:
Degenerate generalized Laguerre polynomials
Lah numbers
Degenerate exponential function
Online Access:https://doi.org/10.1186/s13662-021-03574-8
Description
Summary: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.
ISSN:1687-1847

Similar Items