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

Takashi Aoki ; Shofu Uchida

Symmetry, integrability and geometry: methods and applications, Tome 18 (2022)

Résumé

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 the infinity. It is shown that they are Borel summable in some specified regions in the space of parameters and their Borel sums in the regions are given.

Détail

Keywords: exact WKB analysis, generalized hypergeometric differential equations.
Mots-clés : Voros coefficients

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