Computation of the Whittaker functions W  k,μ(z) with series expansions and Padé Approximants

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1995 English Publisher:AIP PublishingJournal:Computers in Physics, volume 9, pages 318-323 (issn: 0894-1866,

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Authors: C. de Izarra; O. Vallée; J. Picart; N. Tran Minh;

doi: 10.1063/1.168531

Computation of the Whittaker functions W k,μ(z) with series expansions and Padé Approximants

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Abstract

Different mathematical representations of the Whittaker functions Wk,μ(z) are investigated, allowing to compute them numerically with high precision for various values of the argument z and of the parameters k and μ. Application of Padé Approximants with Wynn’s algorithm on an asymptotic series expansion appears to be a powerful numerical method. © 1995 American Institute of Physics.

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University of Orléans
France
Paris Observatory
France

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