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”, Zh. Vychisl. Mat. Mat. Fiz., 2015, Volume 55, Number 5,Pages <nobr>798

This article is cited in 3 papers

Calculation of the spheroidal functions of the first kind for complex values of the argument and parameters

A. A. Abramov^ab, E. D. Kalinin^ab, S. V. Kurochkin^a

^a Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
^b Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia (MFTI)

Abstract: 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.

Key words: spheroidal wave functions, eigenvalue problem, recursion formulas, numerical stability.

UDC: 519.624.2

MSC: Primary 65D20; Secondary 33E10

Received: 06.11.2014

DOI: 10.7868/S0044466915050038