Python computations of general Heun functions from their integral series representations

06/21/2021

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by   Tolga Birkandan, et al.

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We present a numerical implementation in Python of the recently developed unconditionally convergent representation of general Heun functions as integral series. We produce two codes available for download, one especially aimed at reproducing the output of Mathematica's HeunG function, the other for general-purpose computations. We show that the present code compares favorably with Mathematica's function, point to further improvements, and discuss the issue of singularities.