Computations of general Heun functions from their integral series representations

Autor:	Birkandan, Tolga, Giscard, Pierre-Louis, Tamar, Aditya
Rok vydání:	2021
Předmět:	Mathematics - Numerical Analysis Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.1109/DD52349.2021.9598600
Popis:	We present a numerical implementation of the recently developed unconditionally convergent representation of general Heun functions as integral series. We produce two codes in Python available for download, one of which is especially aimed at reproducing the output of Mathematica's HeunG function. We show that the present code compares favorably with Mathematica's HeunG and with an Octave/Matlab code of Motygin, in particular when the Heun function is to be evaluated at a large number of points if less accuracy is sufficient. We suggest further improvements concerning the accuracy and discuss the issue of singularities. Comment: Updated with new computations and comparisons with Octave/Matlab performances
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.13729 Zobrazit plný text záznamu View this record from Arxiv