On the classical d-orthogonal polynomials defined by certain generating functions, II

被引：30

作者：

Ben Cheikh, Y ^{[1
]}

Douak, K

机构：

[1] Fac Sci Monastir, Dept Math, Monastir 5019, Tunisia

[2] Univ Paris 06, Anal Numer Lab, F-75252 Paris 05, France

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2001年 / 8卷 / 04期

关键词：

orthogonal polynomials; multiple orthogonal polynomials; d-orthogonal polynomials; hypergeometric polynomials; recurrence relations; differential equations;

D O I：

10.36045/bbms/1102714790

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a direct sequel to [5]. The present part deals With the problem of finding all d-orthugonal polynomial sets generated by G(x,t) = e(t)psi(xt). The resulting polynomials reduce to Laguerre polynomials for d=1 and to two-orthogonal polynomials associated with MacDonald functions for d=2, recently considered by (lie authors [6] and by Van Assche and Yakubovich [36]. Various properties for the obtained polynomials are singled out.

引用

页码：591 / 605

页数：15

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[2]

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[3]

[Anonymous], GIORN MAT BATTAGLINI

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