Laguerre-Freud Equations Associated with the Hq-Semiclassical Forms of Class One

被引：6

作者：

Zaatra, Mohamed ^{[1
]}

机构：

[1] Higher Inst Sci & Tech Waters Gabes, Univ Campus, Gabes 6072, Tunisia

来源：

FILOMAT | 2018年 / 32卷 / 19期

关键词：

Orthogonal polynomials; q-difference operator; H-q-semiclassical forms; ORTHOGONAL POLYNOMIALS; PRODUCT;

D O I：

10.2298/FIL1819769Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give the system of Laguerre-Freud equations for the recurrence coefficients beta(n), gamma(n+1), n >= 0 of orthogonal polynomials with respect to a H-q-semiclassical form (linear functional) of class one. The system is solved in the case when beta(n) = t(n-1) - t(n) and beta(n+1) = -t(n)(2) with t(n) not equal 0, n >= 0 and t(-1) = 0. There are essentially three canonical cases.

引用

页码：6769 / 6787

页数：19

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