(p, q)-analogues of the generalized Touchard polynomials and Stirling numbers

被引：1
|
作者：
Oussi, Lahcen [1 ]
机构：
[1] Univ Wroclaw, Inst Math, Wroclaw, Poland
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2022年 / 33卷 / 03期
基金：
奥地利科学基金会;
关键词：
Touchard polynomial; (p; q)-calculus; q)-Stirling number; q)-Bell number; Spivey relation; Dobinski formula; OPERATORS;
D O I：
10.1016/j.indag.2021.12.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce a (p, q)-deformed analogues of the generalized Touchard polynomials and Stirling numbers, the post-quantum analogues of the q-deformed generalized Touchard polynomials and Stirling numbers. The connection between these deformations is established. A recurrence relation for the (p, q)-deformed generalized Touchard polynomials is expounded, elucidating a (p, q)-deformation of Spivey's relation. (C) 2021 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
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页码：664 / 681
页数：18
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