confluent_Heun_functions: On evaluation of the confluent Heun functions. In this paper we consider the confluent Heun equation, which is a linear differential equation of second order with three singular points --- two of them are regular and the third one is irregular of rank 1. The purpose of the work is to propose a procedure for numerical evaluation of the equation’s solutions (confluent Heun functions). A scheme based on power series, asymptotic expansions and analytic continuation is described. Results of numerical tests are given.
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- Birkandan, Tolga; Güzelgün, Ceren; Şirin, Elif; Uslu, Mustafa Can: Symbolic and numerical analysis in general relativity with open source computer algebra systems (2019)