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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2006 Volume 46, Number 1, Pages 12–17 (Mi zvmmf529)

This article is cited in 7 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.

UDC: 519.6:517.588

Received: 01.07.2005


 English version:
Computational Mathematics and Mathematical Physics, 2006, 46:1, 10–15

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© Steklov Math. Inst. of RAS, 2026