Matlab/Octave code for evaluation of the Heun functions
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HeunG_near_1.m
HeunG_near_a.m
HeunG_near_infty.m
HeunGfromZ0.m
HeunL.m
HeunL0.m
HeunL00.m
HeunL00log.m
HeunLS.m
HeunLmv.m
HeunOpts.m
HeunS.m
HeunS0.m
HeunS00gamma1.m
HeunS0gamma1.m
HeunSmv.m
HeunSmvgamma1.m
LICENSE
README.md

README.md

Heun_functions

Matlab/Octave code for evaluation of the Heun functions

The basic functions to use:

HeunL0: local Heun function, equal to 1 at z=0

HeunLmv: multi-valued function, integration along an arbitrary path connecting 0 and z

HeunS0: second local solution at z=0

HeunSmv: multi-valued function, integration along an arbitrary path connecting 0 and z

HeunL, HeunS: with improvement near singularities z=1, a, infinity

HeunOpts: tuning of internal parameters

Auxiliary functions: HeunGfromZ0 HeunLS HeunG_near_1 HeunG_near_a HeunG_near_infty HeunL00 HeunL00log HeunS0gamma1 HeunS00gamma1 HeunSmvgamma1

tested in the Octave numerical environment, intended to be Matlab compatible

Ref.: http://arxiv.org/abs/1506.03848