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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 002, 23 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.002 (Mi sigma1797) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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
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DOI: https://doi.org/10.3842/SIGMA.2022.002
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.
Funding agency Grant number
Japan Society for the Promotion of Science 18K03385
The first author is supported by JSPS KAKENHI Grant No. 18K03385.
Received: July 20, 2021; in final form December 30, 2021; Published online January 3, 2022
Bibliographic databases:
Document Type: Article
MSC: 33C20, 34E20, 34M60
Language: English
Citation: Takashi Aoki, Shofu Uchida, “Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter”, SIGMA, 18 (2022), 002, 23 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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