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Calculations of Mathieu Functions with Negative ParameterV1.0

by Da Ma

 

02 Feb 2009 (Updated 31 Mar 2009)

an effective tool for calculation of Mathieu functions with negative parameters

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Description

These routines are programmed by using Matlab langurage , according to the translation relationships between the Mathieu functions with positive and negative parameters.Some functions are quoted from Ben Barrowes' direct translation, performed using f2matlab, of the original FORTRAN-77 implementation of "Computation of Special Functions."

The package includes the following subroutines:
 dbesseli----Compute the derivatives of modified Bessel functions of the first kind;
 dbesselk----Compute the derivatives of modified Bessel functions of the second kind;
mathieuq---Compute Mathieu functions cem(x,q)and sem(x,q),(q>0);
dmathieuq---Compute Mathieu functions cem'(x,q)and sem'(x,q),(q>0);
Mathieu_Q---- Compute Mathieu functions cem(x,Q)and sem(x,Q),(Q<0);
Dmathieu_Q---- Compute Mathieu functions cem'(x,Q)and sem'(x,Q),(Q<0);
Mmathieu_Q1----Compute modified Mathieu functions of the first kind;
DMmathieu_Q1----Compute the derivatives of modified Mathieu functions of the first kind;
Mmathieu_Q2----Compute modified Mathieu functions of the second kind;
DMmathieu_Q2----Compute the derivatives of modified Mathieu functions of the second kind;
Mmathieu_Q3----Compute modified Mathieu functions of the third kind;
DMmathieu_Q3----Compute the derivatives of modified Mathieu functions of the third kind;
Mmathieu_Q4----Compute modified Mathieu functions of the fourth kind;
DMmathieu_Q4----Compute the derivatives of modified Mathieu functions of the fourth kind.

MATLAB release MATLAB 7.0.1 (R14SP1)
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Comments and Ratings (2)
07 Oct 2009 ZHIQIU YE

Is this correct? becaues as I know, cem(x=0,q)=1. However, this codes does not satisfy this rule.

25 Mar 2010 Da Ma

You may use other definition system for Mathieu functions, in my routines,the definition is accirding to the Standard mathematics handbook published by America. Please Check it.

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Updates
31 Mar 2009

the m files for calculating the angular mathieu functions with positive parameter have been updated to calculate ones with negative parameter successfully

Tag Activity for this File
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wireless Cristina McIntire 02 Feb 2009 13:16:33
communications Cristina McIntire 02 Feb 2009 13:16:33
electromagnetic and microwave technology Da Ma 02 Feb 2009 13:16:58
wireless,communications Da Ma 02 Feb 2009 13:16:58
physics Da Ma 02 Feb 2009 13:16:58
mathematics Da Ma 02 Feb 2009 13:16:58
communications Da Ma 25 Mar 2010 08:24:29

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