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These routines are the improved calculation routines for Mathieu functions with positive parameters based on Ben Barrowes' direct translation, performed using f2matlab, of the original FORTRAN-77 implementation of "Computation of Special Functions."
The package includes the following subroutines:
dbesselj----Compute the derivatives of Bessel functions;
dbessely----Compute the derivatives of Bessel function of second kind;
mathieu----Compute the angular mathieu functions (argument is vector);
dmathieu----Compute the derivatives of angular Mathieu functions(argument is vector);
mmathieu1----Compute the radial Mathieu functions of the first kind (argument is vector);
dmmathieu1----Compute the derivatives of radial Mathieu functions of the first kind (argument is vector);
mmathieu2----Compute the radial Mathieu functions of the second kind (argument is vector);
dmmathieu2----Compute the derivatives of radial Mathieu functions of the second kind (argument is vector);
mmathieu3----Compute the radial Mathieu functions of the third kind (argument is vector);
dmmathieu3----Compute the derivatives of radial Mathieu functions of the third kind (argument is vector);
mmathieu4----Compute the radial Mathieu functions of the fourth kind (argument is vector);
dmmathieu4----Compute the derivatives of radial Mathieu functions of the fourth kind (argument is vector);
mathieuq----Compute the angular mathieu functions (parameter q is vector);
dmathieuq----Compute the derivatives of angular Mathieu functions(parameter q is vector);
mmathieu1q----Compute the radial Mathieu functions of the first kind (parameter q is vector);
dmmathieu1q----Compute the derivatives of radial Mathieu functions of the first kind (parameter q is vector);
mmathieu2q----Compute the radial Mathieu functions of the second kind (parameter q is vector);
dmmathieu2q----Compute the derivatives of radial Mathieu functions of the second kind (parameter q is vector);
mmathieu3q----Compute the radial Mathieu functions of the third kind (parameter q is vector);
dmmathieu3q----Compute the derivatives of radial Mathieu functions of the third kind (parameter q is vector);
mmathieu4q----Compute the radial Mathieu functions of the fourth kind (parameter q is vector);
dmmathieu4q----Compute the derivatives of radial Mathieu functions of the fourth kind (parameter q is vector);
Cite As
Da Ma (2026). Mathieu classic functions with positive parameter V1.0 (https://uk.mathworks.com/matlabcentral/fileexchange/27100-mathieu-classic-functions-with-positive-parameter-v1-0), MATLAB Central File Exchange. Retrieved .
Categories
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General Information
- Version 1.0.0.0 (63.2 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | Action |
|---|---|---|---|
| 1.0.0.0 |
