Voros coefficients and the topological recursion for the hypergeometric differential equation of type (1, 4). Issue 5 (3rd August 2021)

• Record Type: Journal Article
• Authors: Takei, Yumiko
• Is Part Of: Integral transforms and special functions. Volume 32:Issue 5/8(2021)
• Page Start: 647
• Page End: 659
• Publication Date: 2021-08-03
• Subjects: Exact WKB analysis -- Voros coefficients -- topological recursion -- quantum curves -- free energy; 34M60 -- 81T45; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2021.1912038
• Languages: English
• ISSNs: 1065-2469

Abstract

Abstract : In my joint papers with Iwaki and Koike, we found an intriguing relation between the Voros coefficients in the exact WKB analysis and the free energy in the topological recursion introduced by Eynard and Orantin in the case of the confluent family of the Gauss hypergeometric differential equations. In this paper, we discuss its generalization to the case of the hypergeometric differential equation of type ( 1, 4 ) .