Lerch Asymptotics

We use a Mellin-Barnes integral representation for the Lerch transcendent (, , ) to obtain large asymptotic approximations. The simplest divergent asymptotic approximation terminates in the case that is an integer. For non-integer , the asymptotic approximations consist of the sum of two series. T...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Author: Olde Daalhuis, Adri B.
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212172
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Lerch Asymptotics. Adri B. Olde Daalhuis. SIGMA 20 (2024), 023, 9 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine