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Keyword: Hyperasymptotic Expansion (1)	24 Mar 2025	Run
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chapterNo Access
Hyperasymptotic expansions of the modified Bessel function of the third kind of purely imaginary order
- Wei Shi and
- R. Wong
The Selected Works of Roderick S C Wong05 Aug 2015
Preview Abstract
In this paper, we use a new method to derive hyperasymptotic expansions for the modified Bessel function of the third kind of purely imaginary order. Our approach is based on the method of Hadamard-series expansion developed by Paris (Proc. Roy. Soc. Lond. A457 (2001), 2855–2869). Modifications are made to deal with the presence of an infinite number of saddle points, and numerical computation is used to illustrate the accuracy of our results.

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