Laguerre-Freud equations associated with the D-Laguerre-Hahn forms of class one

被引：8

作者：

Sghaier, Mabrouk ^{[1
]}

Zaatra, Mohamed ^{[2
]}

Khlifi, Achraf ^{[3
]}

机构：

[1] Inst Super Informat Medenine, Medenine 4119, Tunisia

[2] Inst Super Sci & Tech Eaux Gabes, Gabes 6072, Tunisia

[3] Fac Sci Gabes, Route Medenine Gabes, Gabes 6029, Tunisia

来源：

ADVANCES IN PURE AND APPLIED MATHEMATICS | 2019年 / 10卷 / 04期

关键词：

Orthogonal polynomials; Laguerre-Hahn forms; Laguerre-Freud equations; PERTURBATIONS;

D O I：

10.1515/apam-2018-0015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 D-Laguerre-Hahn form (linear functional) of class one. The system is solved in the casewhen beta(0) = -theta(0), beta(n+1) = theta(n) - theta(n+1) and gamma(n+1) = -theta(2)(n) with theta(n) not equal 0, n >= 0. There are essentially three canonical cases.

引用

页码：395 / 411

页数：17

共 17 条

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