On q-orthogonal polynomials over a collection of complex origin intervals related to little q-Jacobi polynomials

被引：0
|
作者：
Predrag M. Rajković
Sladjana D. Marinković
Miomir S. Stanković
机构：
[1] Faculty of Mechanical Engineering,Department of Mathematics
[2] Faculty of Electronic Engineering,Department of Mathematics
[3] University of Niš,Department of Mathematics, Faculty of Occupational Safety
来源：
The Ramanujan Journal | 2006年 / 12卷
关键词：
Basic hypergeometric functions; Orthogonal polynomials;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct the sequence of orthogonal polynomials with respect to an inner product which is defined by q-integrals over a collection of intervals in the complex plane. We prove that they are connected with little q-Jacobi polynomials. For such polynomials we discuss a few representations, a recurrence relation, a difference equation, a Rodrigues-type formula and a generating function.
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页码：245 / 255
页数：10
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