Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Aoki, Takashi, Uchida, Shofu
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211543
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter. Takashi Aoki and Shofu Uchida. SIGMA 18 (2022), 002, 23 pages

Voros coefficients of the generalized hypergeometric differential equations with a large parameter are defined, and their explicit forms are given for the origin and for infinity. It is shown that they are Borel summable in some specified regions in the space of parameters, and their Borel sums in t...