Calculations of Mathieu Functions with Negative ParameterV1.0
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 .
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