GENERATING-FUNCTIONS AND SEMICLASSICAL ORTHOGONAL POLYNOMIALS

被引：4

作者：

MARONI, P ^{[1
]}

VANISEGHEM, J ^{[1
]}

机构：

[1] UNIV LILLE 1,UFR MATH,F-59655 VILLENEUVE DASCQ,FRANCE

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1994年 / 124卷

关键词：

D O I：

10.1017/S0308210500022460

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An orthogonal family of polynomials is given, and a link is made between the special form of the coefficients of their recurrence relation and a first-order linear homogenous partial differential equation satisified by the associated generating function. A study is also made of the semiclassical character of such families.

引用

页码：1003 / 1011

页数：9

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