Geodesic
Calculation of the spheroidal functions of the first kind for complex values of the argument and parameters
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 5, pp. 798-806
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Methods are proposed, first, for calculating (in a given domain of complex plane) the eigenvalues of the spheroidal wave equation with complex-valued parameters and, second, for calculating the values of the corresponding functions for complex values of the argument. 
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A. A. Abramov; E. D. Kalinin; S. V. Kurochkin. Calculation of the spheroidal functions of the first kind for complex values of the argument and parameters. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 5, pp. 798-806. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_5_a4/

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