A note on degenerate generalized Laguerre polynomials and Lah numbers-Reference-Cited by-同舟云学术

A note on degenerate generalized Laguerre polynomials and Lah numbers

Published:2021-09-17 Issue:1 Volume:2021 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Kim Taekyun,Dolgy Dmitry V.,Kim Dae San,Kim Hye Kyung,Park Seong Ho

Abstract

AbstractThe 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-021-03574-8.pdf

Reference18 articles.

1. Bayad, A., Chikhi, J.: Apostol-Euler polynomials and asymptotics for negative binomial reciprocals. Adv. Stud. Contemp. Math. (Kyungshang) 24(1), 33–37 (2014)

2. Boyadzhiev, K.N.: Lah numbers, Laguerre polynomials of order negative one, and the nth derivative of $\exp (1/x)$. Acta Univ. Sapientiae Math. 8(1), 22–31 (2016)

3. Carlitz, L.: Some generating functions for Laguerre polynomials. Duke Math. J. 35, 825–827 (1968)

4. Chung, Y.-S., Sarkar, T.K., Jung, B.H., Salazar-Palma, M., Ji, Z., Jang, S., Kim, K.: Solution of time domain electric field integral equation using the L polynomials. IEEE Trans. Antennas Propag. 52(9), 2319–2328 (2004)

5. Comtet, L.: Advanced Combinatorics. Reidel, Dordrecht (1974)

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Solution of Fractional Kinetic Equations Involving Laguerre Polynomials via Sumudu Transform;Journal of Function Spaces;2024-01

2. Δω-Laguerre based Appell polynomials and their properties associated with some special polynomials;Applied Mathematics and Computation;2023-12

3. Novel Kinds of Fractional λ–Kinetic Equations Involving the Generalized Degenerate Hypergeometric Functions and Their Solutions Using the Pathway-Type Integral;Mathematics;2023-10-09

4. Analytic solutions to the fractional kinetic equation involving the generalized Mittag-Leffler function using the degenerate Laplace type integral approach;The European Physical Journal Special Topics;2023-08-02

5. Results on the modified degenerate Laplace-type integral associated with applications involving fractional kinetic equations;Demonstratio Mathematica;2023-01-01