This article is cited in 2 papers

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.

UDC: 519.6:517.589

Received: 11.10.2005
Revised: 10.01.2006

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

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