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
收藏
页码：229 / 234
页数：6
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