Voros Coefficients for the Hypergeometric Differential Equations and Eynard–Orantin’s Topological Recursion: Part I—For the Weber Equation

We develop the theory of quantization spectral curves via topological recursion. formulate a scheme which is not necessarily admissible in sense Bouchard and Eynard. The main result this paper second part (Iwaki et al. Voros coefficients for hypergeometric differential equations Eynard–Orantin’s recursion, II: confluent family equations, preprint; arXiv:1810.02946 ) establishes relation between quantum free energy associated with Gauss equations. focus on Weber equation article generalize other members part. also find explicit formulas those terms Bernoulli numbers.