Some identities from the q-binomial transform

被引：0
|
作者：
Wang, Weiping [1 ]
Liu, Hongmei [2 ]
机构：
[1] Zhejiang Sci Tech Univ, Sch Sci, Hangzhou 310018, Peoples R China
[2] Dalian Nationalities Univ, Sch Sci, Dalian 116600, Peoples R China
来源：
UTILITAS MATHEMATICA | 2012年 / 88卷
基金：
中国国家自然科学基金;
关键词：
Identities; q-binomial transform; q-generalized Seidel matrix; q-dual sequences; RECURRENCE FORMULA; BERNOULLI; SEQUENCES;
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, by using the properties of the q-generalized Seidel matrix, we establish general identities involving the sequence (a(n))n is an element of N and its q-binomial transform (b(n))n is an element of N. As applications, various identities are deduced, especially some related to the q-dual sequences, the q-Bernoulli polynomials and the q-Stirling numbers of the second kind. It can be found that many known results are special cases of ours.
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页码：91 / 106
页数：16
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