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Angular Mathieu Functions

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Angular Mathieu Functions

by johnus magnus

 

28 Aug 2007 (Updated 28 Aug 2007)

Mathieu Functions and Eigenvalues

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Description

Two Functions, sen and cen, compute the Angular Mathieu Functions and their associated eignevalue via a trigonometric fourier expansion.

These functions arise in the solution of an eigenvalue problem (helmholtz eqn) on an elliptical domain, or as linearly independent solutions to Mathieu's Differential Equation.

This is the first version of these functions. These fascinating functions are not included in the Matlab Function library.
MATLAB release MATLAB 6.5 (R13)
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elliptic cosine, elliptic sine, math, mathieu, mathieu functions
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Comments and Ratings (2)
20 Mar 2008 Ellips Wang

Hi, the program provided by mathwork does not work. For example, the results of "mmto0" are as follows
m q cem(x,q) cem'(x,q)
2 25.0 .5297051 2.4292679
but the truth are that
m q cem(x,q) cem'(x,q)
2 25.0 -.5297051 -2.4292679
How to correct it? Thank you!
10 Oct 2007 XD Chen

The results do not agree with Chapter 20 of
"Handbook of mathematical functions", by M. Abramowitz and I. A. Stegun

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