A Note on q-analogue of Degenerate Catalan Numbers Associated with p-adic Integral on Zp

被引：9

作者：

Khan, Waseem A. ^{[1
]}

机构：

[1] Prince Mohammad Bin Fand Univ, Dept Math & Nat Sci, POB 1664, Al Khobar 31952, Saudi Arabia

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 06期

关键词：

q-Catalan numbers; q-analogue of degenerate Catalan polynomials and numbers; Stirling numbers; POLYNOMIALS;

D O I：

10.3390/sym14061119

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we introduce q-analogues of degenerate Catalan numbers and polynomials with the help of a fermionic p-adic q-integrals on Zp and establish some new connections with the degenerate Stirling numbers of the first and second kinds. Furthermore, we also find a few new identities and results of this type of polynomials and numbers.

引用

页数：10

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