Takashi Aoki, Shofu Uchida, “Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter”, SIGMA, 2022, Volume 18,002, 23 pp.

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

Takashi Aoki, Shofu Uchida

Kindai University, Higashi–Osaka 577-8502, Japan

Abstract: 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.

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

MSC: 33C20, 34E20, 34M60

Received: July 20, 2021; in final form December 30, 2021; Published online January 3, 2022

Language: English

DOI: 10.3842/SIGMA.2022.002