Calculations of Mathieu Functions with Negative ParameterV1.0

Version 1.2.0.0 (34.5 KB) by Da Ma
an effective tool for calculation of Mathieu functions with negative parameters
930 Downloads
Updated 31 Mar 2009

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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.

Cite As

Da Ma (2024). Calculations of Mathieu Functions with Negative ParameterV1.0 (https://www.mathworks.com/matlabcentral/fileexchange/22856-calculations-of-mathieu-functions-with-negative-parameterv1-0), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14SP1
Compatible with any release
Platform Compatibility
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Version Published Release Notes
1.2.0.0

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

1.0.0.0