The recurrence relations for the spheroidal functions

被引：4

作者：

Tian GuiHua ^{[1
]}

Zhong ShuQuan ^{[1
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY | 2011年 / 54卷 / 03期

基金：

中国国家自然科学基金;

关键词：

spheroidal wave functions; supersymmetry quantum mechanics; super-potential; shape-invariance;

D O I：

10.1007/s11433-011-4251-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The integrable properties of the spheroidal equations are investigated. The shape-invariance property is proved to be retained for the spheroidal equations, for which the recurrence relations are obtained. This is the extension of the recurrence relation of the Legendre polynomials.

引用

页码：393 / 400

页数：8

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