A note on degenerate generalized Laguerre polynomials and Lah numbers

被引：0
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作者：
Taekyun Kim
Dmitry V. Dolgy
Dae San Kim
Hye Kyung Kim
Seong Ho Park
机构：
[1] Kwangwoon University,Department of Mathematics
[2] Far Eastern Federal University,Department of Mathematical Methods in Economy
[3] Sogang University,Department of Mathematics
[4] Daegu Catholic University,Department of Mathematics Education
来源：
Advances in Difference Equations | / 2021卷
关键词：
Degenerate generalized Laguerre polynomials; Lah numbers; Degenerate exponential function; 11B83; 42C05; 60E99;
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摘要：
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.
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