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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)
Full-text PDF (203 kB) Citations (3)
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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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  • https://www.mathnet.ru/eng/zvmmf/v55/i5/p798
    • This publication is cited in the following 3 articles:
    1. V.B. Il'in, D.G. Turichina, V.G. Farafonov, S.I. Laznevoi, G.A. Gontcharov, A.A. Marchuk, A.V. Mosenkov, D.M. Poliakov, S.S. Savchenko, A.A. Smirnov, M.S. Prokopjeva, “A new practical approach to light scattering by spheroids with the use of spheroidal and spherical function bases”, Journal of Quantitative Spectroscopy and Radiative Transfer, 311 (2023), 108759  crossref
    2. V. G. Farafonov, V. B. Il'in, D. G. Turichina, “On Relations of the T-Matrices Arising in the Axisymmetric Problem of Light Scattering by a Spheroid”, Opt. Spectrosc., 131:8 (2023), 649  crossref
    3. Victor G. Farafonov, Vladimir B. Il'in, Daria G. Turichina, 2021 Days on Diffraction (DD), 2021, 48  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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