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Zbl 0886.65012
Temme, N.M.
Numerical algorithms for uniform Airy-type asymptotic expansions. (English)
[J] Numer. Algorithms 15, No.2, 207-225 (1997). ISSN 1017-1398; ISSN 1572-9265/e

Two general methods for computing the asymptotic series near the transition point are discussed and illustrated through treating the case of Bessel functions.
[S.K.Rangarajan (Madras)]
MSC 2000:
*65D20 Computation of special functions
41A60 Asymptotic problems in approximation
33C10 Cylinder functions, etc.

Keywords: uniform Airy-type asymptotic expansions; asymptotic series; transition point; Bessel functions

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