A characterization of some q-orthogonal polynomials

被引：0
|
作者：
Somjit Datta
James Griffin
机构：
[1] University of South Florida,
[2] Imperial College,undefined
来源：
The Ramanujan Journal | 2006年 / 12卷
关键词：
-orthogonal polynomials; Recurrence relations;
D O I：
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中图分类号：
学科分类号：
摘要：
We show that the only orthogonal polynomials satisfying a q-difference equation of the form π(x)DqPn(x) = (αnx + βn)Pn(x) + γnPn−1(x) where π(x) is a polynomial of degree 2, are the Al-Salam Carlitz 1, little and big q-Laguerre, the little and big q-Jacobi, and the q-Bessel polynomials. This is a q-analog of the work carried out in [1].
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页码：425 / 437
页数：12
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