INTEGRAL AND DISCRETE REPRESENTATIONS OF SOME Hq-SEMICLASSICAL FORMS

被引：0
|
作者：
Mejri, Manoubi [1 ]
机构：
[1] Univ Tunis El Manar, Inst Preparatoire Etud Ingn El Manar, Campus Univ El Manar,BP 244 El Manar 2, Tunis 2092, Tunisia
来源：
QUAESTIONES MATHEMATICAE | 2016年 / 39卷 / 03期
关键词：
q-difference operator; H-q-semi-classical polynomials; integral representation; q-difference equations; q-series representations;
D O I：
10.2989/16073606.2015.1072854
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to deduce integral and discrete representations of some H-q-semielnssical forms of class one. These forms were studied by B. Rouras and F. Marcellan in [1], (Quadratic decomposition of a family of H-q-semiclassical orthogonal polynomial sequences, J. Difference Equ. Appl. 18 (2012), 2039-2057), but unfortunately, the above problem of representation remained opened in that work. In this paper, we find the moments investigate the of theses forms to solve this problem.
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页码：341 / 350
页数：10
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