Mathieu classic functions with positive parameter V1.0
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 (2024). Mathieu classic functions with positive parameter V1.0 (https://www.mathworks.com/matlabcentral/fileexchange/27100-mathieu-classic-functions-with-positive-parameter-v1-0), MATLAB Central File Exchange. Retrieved .
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Mathieu classic functions with positive parameter V1.0/
Version | Published | Release Notes | |
---|---|---|---|
1.0.0.0 |