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.

引用

页码：178 / 191

页数：14

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