Algorithms for the computation of all Mathieu functions of integer orders

被引：44

作者：

Alhargan, FA ^{[1
]}

机构：

[1] Comp & Elect Res Inst, Riyadh 11442, Saudi Arabia

来源：

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 2000年 / 26卷 / 03期

关键词：

algorithms; Mathieu functions; Mathieu differential equation; Mathieu characteristic numbers; Mathieu characteristic determinant; Mathieu coefficients; Hill's determinant; wave equation; elliptic coordinates;

D O I：

10.1145/358407.358420

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The article presents methods for the computation of all Mathieu functions of integer order, which cover a large range of n and h; previous algorithms were limited to small values of n. The algorithms are given in sufficient detail to enable straightforward implementation. The algorithms can handle a large range of the order n (0-200) and the parameter h (0-4 n).

引用

页码：390 / 407

页数：18

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