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arXiv:1312.2765 [math.CA]AbstractReferencesReviewsResources

The resurgence properties of the large order asymptotics of the Anger--Weber function II

Gergő Nemes

Published 2013-12-10, updated 2014-03-20Version 2

In this paper, we derive a new representation for the Anger--Weber function, employing the reformulation of the method of steepest descents by C. J. Howls (Howls, Proc. R. Soc. Lond. A 439 (1992) 373--396). As a consequence of this representation, we deduce a number of properties of the large order asymptotic expansion of the Anger--Weber function, including explicit and realistic error bounds, asymptotic approximations for the late coefficients, exponentially improved asymptotic expansions, and the smooth transition of the Stokes discontinuities.

Comments: 22 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1311.2522, arXiv:1309.2209, accepted in Journal of Classical Analysis
Journal: Journal of Classical Analysis, Volume 4, Issue 2, 2014, 121-147
Categories: math.CA
Subjects: 41A60, 30E15, 34M40
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