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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 1, Pages 12–17
(Mi zvmmf529)
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This article is cited in 7 scientific papers (total in 8 papers)
Highly accurate calculation of agular 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 angular spheroidal functions of the first kind is proposed. The method is partly based on the known representations of these functions; however, some additional structures proposed in this work ensure efficient highly accurate calculation function values at a given point for a wide range of parameters.
Key words:
angular spheroidal function, associated Legendre function, eigenvalue problem.
Received: 01.07.2005
Citation:
A. A. Abramov, S. V. Kurochkin, “Highly accurate calculation of agular spheroidal functions”, Zh. Vychisl. Mat. Mat. Fiz., 46:1 (2006), 12–17; Comput. Math. Math. Phys., 46:1 (2006), 10–15
Linking options:
https://www.mathnet.ru/eng/zvmmf529 https://www.mathnet.ru/eng/zvmmf/v46/i1/p12
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