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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 5, Pages 798–806
DOI: https://doi.org/10.7868/S0044466915050038 (Mi zvmmf10202) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

A. A. Abramovab, E. D. Kalininab, S. V. Kurochkina

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)
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DOI: https://doi.org/10.7868/S0044466915050038
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.
Received: 06.11.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 5, Pages 788–796
DOI: https://doi.org/10.1134/S0965542515050036
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
MSC: Primary 65D20; Secondary 33E10
Language: Russian
Citation: 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., 55:5 (2015), 798–806; Comput. Math. Math. Phys., 55:5 (2015), 788–796
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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