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Zbl 1027.65033
Butler, Ronald W.; Wood, Andrew T.A.
Laplace approximation for Bessel functions of matrix argument. (English)
[J] J. Comput. Appl. Math. 155, No.2, 359-382 (2003). ISSN 0377-0427

The authors present Laplace approximations to Bessel functions of matrix argument and to the confluent type II matrix argument hypergeometric function. A collection of results concerning the theoretical properties of the various Laplace approximations is proved. In particular, it is shown that suitably calibrated versions of the approximations inherit the symmetries and confluence relations satisfied by the original functions. A series of tables with results of calculations is given.
[Vladimir L.Makarov (Ky{\" i}v)]

MSC 2000:: *65D20 Computation of special functions
33C10 Cylinder functions, etc.
33C15 Confluent hypergeometric functions
33F05 Numerical approximation of special functions

Keywords: asymptotic approximation; Bessel function; confluence relations; Laplace approximation; hypergeometric function

Cited in: Zbl 1075.62015

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