Degenerate Poly-Lah-Bell Polynomials and Numbers

Taekyun Kim, Hye Kyung Kim and Ali Jaballah

Journal of Mathematics, 2022, vol. 2022, 1-9

Abstract: Many mathematicians studied “poly†as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials arising from the degenerate polyexponential functions which are reduced to degenerate Lah-Bell polynomials when k=1. In particular, we call these polynomials the “poly-Lah-Bell polynomials†when λ⟶0. We give their explicit expression, Dobinski-like formulas, and recurrence relation. In addition, we obtain various algebraic identities including Lah numbers, the degenerate Stirling numbers of the first and second kind, the degenerate poly-Bell polynomials, the degenerate poly-Bernoulli numbers, and the degenerate poly-Genocchi numbers.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2917943

DOI: 10.1155/2022/2917943

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