Dual and triple equations and q-orthogonal polynomials

被引：2

作者：

Ashour, O. A. ^{[1
]}

Ismail, M. E. H. ^{[2
]}

Mansour, Z. S. I. ^{[1
,3
]}

机构：

[1] Cairo Univ, Dept Math, Fac Sci, Giza, Egypt

[2] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

[3] King Saud Univ, Dept Math, Fac Sci, Riyadh, Saudi Arabia

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2016年 / 22卷 / 07期

关键词：

q-orthogonal polynomials; q-series equations; q-Fourier transform; q-integral operator; q-special functions; q-dual and q-triple sequence equations; SERIES;

D O I：

10.1080/10236198.2016.1167889

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we solve dual and triple sequences involving q-orthogonal polynomials. We also introduce and solve a system of dual series equations when the kernel is the q-Laguerre polynomials. Examples are included.

引用

页码：973 / 988

页数：16

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