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.

引用

页数：22