Lerch Asymptotics

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• ISSN: 1815-0659
• 1. Verfasser: Olde Daalhuis, Adri B.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212172
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Lerch Asymptotics. Adri B. Olde Daalhuis. SIGMA 20 (2024), 023, 9 pages

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...