The Hankel Transform of Generalized Bell Numbers and Its q-Analogue

被引：0
|
作者：
Corcino, Roberto B. [1 ]
Corcino, Cristina B. [2 ]
机构：
[1] Mindanao State Univ, Dept Math, Marawi City 9700, Philippines
[2] Univ Philippines, Inst Math, Quezon City 1101, Philippines
来源：
UTILITAS MATHEMATICA | 2012年 / 89卷
关键词：
Stirling numbers; Bell numbers; Hankel transform; r-Whitney numbers; WHITNEY NUMBERS; FORMULA;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a kind of recurrence relation for the generalized Bell numbers is established which is used to obtain the Hankel transform of generalized Bell numbers. Moreover, a q-analogue of generalized Bell numbers is defined and some necessary properties are obtained including a recurrence relation, which plays an important role in formulating a possible solution to determine the Hankel transform of the q-analogue.
引用
收藏
页码：297 / 309
页数：13
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