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Zbl 0953.65014
Wong, R.; Zhao, Y.-Q.
Smoothing of Stokes's discontinuity for the generalized Bessel function. (English)
[J] Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No.1984, 1381-1400 (1999). ISSN 1364-5021; ISSN 1471-2946/e

The author investigates the asymptotic expansion of the generalized Bessel function by using a modified steepest-descent method introduced recently by {\it M. V. Berry} and {\it C. J. Howls} [Proc. R. Soc. Lond., Ser. A 434, No. 1892, 657-675 (1991; Zbl 0764.30031)].
[Matthew He (Ft.Lauderdale)]

MSC 2000:: *65D20 Computation of special functions
33C10 Cylinder functions, etc.

Keywords: asymptotic expansion; generalized Bessel function; Stokes's phenomenon; hyperasymptotics; steepest-descent method

Citations: Zbl 0764.30031

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