Mathieu functions revisited: matrix evaluation and generating functions

被引：0

作者：

Chaos-Cador, L ^{[1
]}

Ley-Koo, E ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 01000, DF, Mexico

来源：

REVISTA MEXICANA DE FISICA | 2002年 / 48卷 / 01期

关键词：

Mathieu functions; matrix evaluation; generating functions;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An updated didactical approach to Mathieu functions is presented as an alternative to the orthodox treatment. The matrix evaluation of the angular Mathieu functions is not only pertinent, but long over due, after seventy five years of matrix quantum mechanics and with the availability of computing tools. Plane waves are identified as generating functions of the Mathieu functions, showing their explicit expansions. Some mathematical and physical applications are illustrated.

引用

页码：67 / 75

页数：9

共 21 条

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