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arXiv · 2107.02571

A note on degenerate generalized Laguerre polynomials and Lah numbers

Taekyun Kim·Dmitry V. Dolgy·Dae san Kim·Hye Kyung Kim·Seong Ho Park
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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.

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Taekyun Kim, Dmitry V. Dolgy, Dae san Kim, Hye Kyung Kim, Seong Ho Park. 2021-07-06. A note on degenerate generalized Laguerre polynomials and Lah numbers. https://arxiv.org/abs/2107.02571

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