A characterization of some q-orthogonal polynomials

被引：9
|
作者：
Datta, Somjit
Griffin, James
机构：
[1] Univ London Imperial Coll Sci Technol & Med, London SW7 2BZ, England
[2] Univ S Florida, Tampa, FL USA
来源：
RAMANUJAN JOURNAL | 2006年 / 12卷 / 03期
关键词：
q-orthogonal polynomials; recurrence relations;
D O I：
10.1007/s11139-006-0152-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the only orthogonal polynomials satisfying a q-difference equation of the form pi(x)DqPn(x) = (alpha(n)x + beta(n))P-n(x) + gamma P-n(n-1)(x) where pi(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].
引用
收藏
页码：425 / 437
页数：13
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