The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One

被引：24
|
作者：
Ghressi, Abdallah [1 ]
Kheriji, Lotfi [2 ]
机构：
[1] Fac Sci Gabes, Gabes, Tunisia
[2] Inst Super Sci Appl & Technol Gabes, Gabes, Tunisia
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2009年 / 5卷
关键词：
quadratic decomposition of symmetrical orthogonal polynomials; semiclassical form; integral representations; q-difference operator; q-series representations; the q-analog of the distributional equation of Pearson type; FORM; PRODUCT;
D O I：
10.3842/SIGMA.2009.076
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the quadratic decomposition and duality to classify symmetrical H-q-semiclassical orthogonal q-polynomials of class one where H-q is the Hahn's operator. For any canonical situation, the recurrence coefficients, the q-analog of the distributional equation of Pearson type, the moments and integral or discrete representations are given.
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页数：22
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