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.
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页码：423 / 436
页数：14
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