DISCRETE SEMICLASSICAL ORTHOGONAL POLYNOMIALS OF CLASS ONE

被引：22

作者：

Dominici, Diego ^{[1
]}

Marcellan, Francisco ^{[2
]}

机构：

[1] SUNY Coll New Paltz, Dept Math, New Paltz, NY 12561 USA

[2] Univ Carlos III Madrid, Dept Matemat, Madrid 28911, Spain

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 268卷 / 02期

关键词：

discrete orthogonal polynomials; Pearson equation; discrete semiclassical polynomials; Laguerre-Freud equations; Painleve equations; RECURRENCE COEFFICIENTS; DIFFERENCE EQUATION; FUNCTIONALS;

D O I：

10.2140/pjm.2014.268.389

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study discrete semiclassical orthogonal polynomials of class s = 1. By considering particular solutions of the Pearson equation, we obtain five canonical families of such polynomials. We also consider limit relations between these and other families of orthogonal polynomials.

引用

页码：389 / 411

页数：23

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