ON THE AL-SALAM-CARLITZ ORTHOGONAL q-POLYNOMIALS

被引：0

作者：

Kheriji, L. ^{[1
]}

机构：

[1] Inst Super Sci Appl & Technol Gabes, Gobes 6072, Tunisia

来源：

QUAESTIONES MATHEMATICAE | 2012年 / 35卷 / 02期

关键词：

Orthogonal q-polynomials; q-difference operator; q-integral representation; discrete measure;

D O I：

10.2989/16073606.2012.697263

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the q-integral representation for the Rogers-Szego polynomials to highlight a discrete measure of the Al-Salam-Carlitz form U(a, q) associated with the Al-SAlam-Carlitz polynomials of the first kind {U-n((a)) (.; q)}(n>0) in the positive definite case a < 0, 0 < q < 1 and a q-integral representation of the Al-SAlam-Carlitz polynomial of the second kind V-n((a)) (.; q) for a > 0, 0 < q < 1.

引用

页码：229 / 234

页数：6

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