A q-ANALOGUE OF α-WHITNEY NUMBERS

被引：2
|
作者：
El-Desouky, B. S. [1 ]
Shiha, F. A. [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2018年 / 12卷 / 01期
关键词：
(q; alpha)-Whitney numbers; alpha -Whitney numbers; r-Whitney numbers; q-Stirling numbers; alpha-Whitney-Lah numbers; Q-STIRLING NUMBERS; BERNOULLI POLYNOMIALS;
D O I：
10.2298/AADM1801178E
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define the (q, alpha)-Whitney numbers which are reduced to the a -Whitney numbers when q -> 1. Moreover, we obtain several properties of these numbers such as explicit formulas, recurrence relations, generating functions, orthogonality and inverse relations. Finally, we define the alpha-Whitney-Lah numbers as a generalization of the r-Whitney-Lah numbers and we introduce their important basic properties.
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页码：178 / 191
页数：14
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