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20122023
most citedVoros Coefficients for the Hypergeometric Differential Equations and Eynard-Orantin's Topological Recursion - Part II : For the Confluent Family of Hypergeometric Equations

3 citations · 4 across the 3 of their papers we have counts for

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math.CA2018★ 3 cited

Voros Coefficients for the Hypergeometric Differential Equations and Eynard-Orantin's Topological Recursion - Part II : For the Confluent Family of Hypergeometric Equations

Kohei Iwaki, Tatsuya Koike, Yumiko Takei

We show that the each member of the confluent family of the Gauss hypergeometric equations is realized as quantum curves for appropriate spectral curves. As an application, relatio…

math.CA2018★ 1 cited

Voros Coefficients for the Hypergeometric Differential Equations and Eynard-Orantin's Topological Recursion - Part I : For the Weber Equation

Kohei Iwaki, Tatsuya Koike, Yumiko Takei

We develop the theory of quantization of spectral curves via the topological recursion. We formulate a quantization scheme of spectral curves which is not necessarily admissible in…