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Zh. Vychisl. Mat. Mat. Fiz., 2006, Volume 46, Number 6, Pages 996–1001 (Mi zvmmf454)  

This article is cited in 1 scientific paper (total in 2 paper)

Highly accurate calculation of radial spheroidal functions

A. A. Abramov, S. V. Kurochkin

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: A new method for calculating the radial spheroidal functions of the first kind is proposed for the arguments that are greater than unity in modulus. A well-known representation of these functions is refined and used for this purpose. The constructs and the software implementation proposed in the paper provide an efficient tool for the calculation of the functions with a desired accuracy in a wide range of parameters.

Key words: radial spheroidal functions, recurrences, eigenvalue problem, numerical stability, numerical algorithm.

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English version:
Computational Mathematics and Mathematical Physics, 2006, 46:6, 949–954

Bibliographic databases:

UDC: 519.6:517.589
Received: 11.10.2005
Revised: 10.01.2006

Citation: A. A. Abramov, S. V. Kurochkin, “Highly accurate calculation of radial spheroidal functions”, Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006), 996–1001; Comput. Math. Math. Phys., 46:6 (2006), 949–954

Citation in format AMSBIB
\Bibitem{AbrKur06}
\by A.~A.~Abramov, S.~V.~Kurochkin
\paper Highly accurate calculation of radial spheroidal functions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 6
\pages 996--1001
\mathnet{http://mi.mathnet.ru/zvmmf454}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2285360}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 6
\pages 949--954
\crossref{https://doi.org/10.1134/S0965542506060042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746140475}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. “On the 80th Birthday of Aleksandr Aleksandrovich Abramov”, Comput. Math. Math. Phys., 46:7 (2006), 1081–1085  mathnet  crossref  mathscinet
    2. Ji JianFei, Liang GuoLong, Wang Yan, Lin WangSheng, “Influences of prolate spheroidal baffle of sound diffraction on spatial directivity of acoustic vector sensor”, Science China-Technological Sciences, 53:10 (2010), 2846–2852  crossref  zmath  isi  elib  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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