On Jacobi and continuous Hahn polynomials

被引：27

作者：

Koelink, HT ^{[1
]}

机构：

[1] KATHOLIEKE UNIV LEUVEN, DEPT MATH, B-3001 LOUVAIN, BELGIUM

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 03期

关键词：

Jacobi polynomials; continuous Hahn polynomials; Fourier transform;

D O I：

10.1090/S0002-9939-96-03190-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Jacobi polynomials are mapped onto the continuous Hahn polynomials by the Fourier transform, and the orthogonality relations for the continuous Hahn polynomials then follow from the orthogonality relations for the Jacobi polynomials and the Parseval formula. In a special case this relation dates back to work by Bateman in 1933 and we follow a part of the historical development for these polynomials. Some applications of this relation are given.

引用

页码：887 / 898

页数：12

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