The Regularity of ODEs and Thimble Integrals with Respect to Borel Summation

Through Borel summation, one can often reconstruct an analytic solution of a problem from its asymptotic expansion. We view the effectiveness of Borel summation as a regularity property of the solution, and we show that the solutions of certain differential equations and integration problems are reg...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: Fantini, Veronica, Fenyes, Aaron
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/214180
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Regularity of ODEs and Thimble Integrals with Respect to Borel Summation. Veronica Fantini and Aaron Fenyes. SIGMA 21 (2025), 101, 69 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine