Opuscula Math. 35, no. 5 (2015), 803-823
Alien derivatives of the WKB solutions of the Gauss hypergeometric differential equation with a large parameter
Abstract. We compute alien derivatives of the WKB solutions of the Gauss hypergeometric differential equation with a large parameter and discuss the singularity structures of the Borel transforms of the WKB solution expressed in terms of its alien derivatives.
Keywords: hypergeometric differential equation, WKB solution, Voros coefficient, alien derivative, Stokes curve, fixed singularity.
Mathematics Subject Classification: 33C05, 34M40, 34M60.