Hyperasymptotic expansions of the modified Bessel function of the third kind of purely imaginary order

Wei Shi; R. Wong

doi:10.1142/9789814656054_0056

Hyperasymptotic expansions of the modified Bessel function of the third kind of purely imaginary order

Wei Shi
, R. Wong

Department of Mathematics

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 12 - Chapter in an edited book (Author) › peer-review

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. A 457 (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. © 2016 by World Scientific Publishing Co. Ptc. Ltd.

Original language	English
Title of host publication	Selected Works Of Roderick S. C. Wong, The (In 3 Volumes)
Publisher	World Scientific Publishing Co. Pte Ltd
Pages	1244-1266
ISBN (Print)	9789814656054
DOIs	https://doi.org/10.1142/9789814656054_0056
Publication status	Published - 5 Aug 2015

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Research Keywords

Hadamard series
Hyperasymptotic expansion
Modified bessel function of the third kind of purely imaginary order

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Hyperasymptotic expansions of the modified Bessel function of the third kind of purely imaginary order. / Shi, Wei; Wong, R.
Selected Works Of Roderick S. C. Wong, The (In 3 Volumes). World Scientific Publishing Co. Pte Ltd, 2015. p. 1244-1266.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 12 - Chapter in an edited book (Author) › peer-review

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PB - World Scientific Publishing Co. Pte Ltd

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Hyperasymptotic expansions of the modified Bessel function of the third kind of purely imaginary order

Abstract

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