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arXiv · 1312.2765

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

Gergő Nemes
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Abstract

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.

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Gergő Nemes. 2013-12-10. The resurgence properties of the large order asymptotics of the Anger--Weber function II. https://arxiv.org/abs/1312.2765

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