On semi-classical d-orthogonal polynomials

被引：8

作者：

Saib, Abdessadek ^{[1
]}

机构：

[1] Univ Tebessa, Dept Math, Tebessa 12002, Algeria

来源：

MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 17-18期

关键词：

Orthogonal polynomials; d-orthogonality; d-quasi-orthogonality; recurrence relation; semi-classical character; dual sequences; GENERATING-FUNCTIONS; LINEAR FUNCTIONALS; SEQUENCES;

D O I：

10.1002/mana.201200176

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper a general theory of semi-classical d-orthogonal polynomials is developed. We define the semi-classical linear functionals by means of a distributional equation (phi U)=U, where phi and are dxd matrix polynomials. Several characterizations for these semi-classical functionals are given in terms of the corresponding d-orthogonal polynomials sequence. They involve a quasi-orthogonality property for their derivatives and some finite-type relations. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1863 / 1885

页数：23

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