Probabilistic degenerate Stirling numbers of the first kind and their applications

Autor:	Kim, Taekyun, Kim, Dae san
Rok vydání:	2024
Předmět:	Mathematics - Combinatorics Mathematics - Number Theory Mathematics - Probability 11B68 11B73 11B83
Druh dokumentu:	Working Paper
Popis:	Let Y be a random variable whose degenerate moment generating functions exist in some neighborhoods of the origin. The aim of this paper is to study the probabilistic degenerate Stirling numbers of the first kind associated with Y which are constructed from the degenerate cumulant generating function of Y. They are a degenerate version of the probabilistic Stirling numbers of the first kind associated with Y, which were recently introduced by Adell-Benyi. We investigate some properties, related identities, recurrence relations and explicit expressions for those numbers. In addition, we apply our results to the special cases of normal and gamma random variables. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.06945 Zobrazit plný text záznamu View this record from Arxiv