A note on q-difference equations for Cigler's polynomials

被引：13

作者：

Cao, Jian ^{[1
,2
]}

Niu, Da-Wei ^{[3
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China

[2] Univ Lyon 1, Univ Lyon, Inst Camille Jordan, CNRS,UMR 5208, Villeurbanne, France

[3] East China Normal Univ, Dept Math, Shanghai, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2016年 / 22卷 / 12期

基金：

中国国家自然科学基金;

关键词：

q-difference equation; Cigler's polynomial; generating function; multilinear generating function; U(n+1) type generating function; Q-LAGUERRE-POLYNOMIALS; GENERATING-FUNCTIONS; OPERATOR IDENTITIES; SUMMATION; EXTENSION; ALGEBRA; SERIES;

D O I：

10.1080/10236198.2016.1250750

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Viewing from polynomials solutions of q-difference equations makes certain generating functions calculated easily. In this short paper, we build the relations between Cigler's polynomials and q-difference equations. In addition, we deduce generating functions and bilinear generating functions for Cigler's polynomials. More over, we gain multilinear and mixed generating functions for Cigler's polynomials. At last, we gain U(n + 1) type generating functions for Cigler's polynomials.

引用

页码：1880 / 1892

页数：13

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