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Highly accurate calculation of radial spheroidal functions

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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.

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Authors and Affiliations

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

    A. A. Abramov & S. V. Kurochkin

Authors
  1. A. A. Abramov
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  2. S. V. Kurochkin
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Original Russian Text © A.A. Abramov, S.V. Kurochikin, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 6, pp. 996–1001.

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Abramov, A.A., Kurochkin, S.V. Highly accurate calculation of radial spheroidal functions. Comput. Math. and Math. Phys. 46, 949–954 (2006). https://doi.org/10.1134/S0965542506060042

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  • DOI: https://doi.org/10.1134/S0965542506060042

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