Relations between Mathieu functions of the first and second kind

被引：4

作者：

Malits, Pinchas ^{[1
]}

机构：

[1] Holon Inst Technol, Ctr Appl & Ind Math, Holon, Israel

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2010年 / 21卷 / 06期

关键词：

Mathieu functions; Bessel functions; plane waves;

D O I：

10.1080/10652460903360499

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a number of new integral and series relations between Mathieu functions of the second kind by the Meixner-Schafke definition and Mathieu functions of the first kind are established. These relations permit us to evaluate Mathieu functions of the second kind and their derivatives at the points z = pi m/2, m = 0, +/- 1, .... Bilinear series expansions of plane waves in products of Mathieu functions of the first kind are also derived in a simple way.

引用

页码：423 / 436

页数：14

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