Resurgence in the Transition Region: The Incomplete Gamma Function

We study the resurgence properties of the coefficients ₙ() appearing in the asymptotic expansion of the incomplete gamma function within the transition region. Our findings reveal that the asymptotic behaviour of ₙ() as → +∞ depends on the parity of . Both ₂ₙ₋₁() and ₂ₙ(τ) exhibit behaviours charac...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Author: Nemes, Gergő
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212169
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Resurgence in the Transition Region: The Incomplete Gamma Function. Gergő Nemes. SIGMA 20 (2024), 026, 14 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine