On two kinds of q-analogues of generalized Stirling numbers

被引：2
|
作者：
Xu, Aimin [1 ]
Tang, Peipei [2 ]
机构：
[1] Zhejiang Wanli Univ, Inst Math, Ningbo 315100, Zhejiang, Peoples R China
[2] Zhejiang Univ City Coll, Sch Comp Sci, Hangzhou 310015, Zhejiang, Peoples R China
来源：
RAMANUJAN JOURNAL | 2017年 / 43卷 / 02期
基金：
中国国家自然科学基金;
关键词：
q-Divided difference; Equality of Dobinski-type; q Analogue of Comtet's number;
D O I：
10.1007/s11139-016-9792-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate two kinds of q-analogues of generalized Stirling numbers. One is a q-analogue of Hsu-Shiue's generalized Stirling numbers and the other is a q-analogue of Comtet's numbers. In particular, we derive a q-analogue of an equality of Dobinski-type. Moreover, a determinant of the matrix consisting of the q-analogue of Comtet's numbers is evaluated.
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页码：371 / 381
页数：11
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