On degenerate multi-poly-derangement polynomials and numbers

Autor:	Sang Jo Yun, Jin-Woo Park
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Derangement polynomials multiple logarithm the Stirling number of the first kind and the second kind λ-analogue of the Stirling numbers of the first and the second kind degenerate exponential functions 11B73 Mathematics QA1-939 Engineering (General). Civil engineering (General) TA1-2040
Zdroj:	Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024)
Druh dokumentu:	article
ISSN:	27690911 2769-0911
DOI:	10.1080/27690911.2024.2401873
Popis:	The problem of counting derangements was begun in 1708 by Pierre R[Formula: see text]mond de Montmort (see [Carlitz. The number of derangements of a sequence with given specification. Fibonacci Quart. 1978;16:255–258], [Clarke and Sved. Derangements and Bell numbers. Math Mag. 1993;66:299–303]), and its applications have been investigated actively by many researchers. In this paper, we study properties of the degenerate multi-poly-derangement polynomials and numbers that are defined by using the multiple logarithm function, and derive some interesting identities related to these polynomials and numbers.
Databáze:	Directory of Open Access Journals
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