36 citations · 154 across the 18 of their papers we have counts for
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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…
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…
Exact WKB analysis and cluster algebras II: Simple poles, orbifold points, and generalized cluster algebras
Kohei Iwaki, Tomoki Nakanishi
This is a continuation of developing mutation theory in exact WKB analysis using the framework of cluster algebras. Here we study the Schrodinger equation on a compact Riemann surf…
Exact WKB analysis and cluster algebras
Kohei Iwaki, Tomoki Nakanishi
We develop the mutation theory in the exact WKB analysis using the framework of cluster algebras. Under a continuous deformation of the potential of the Schrödinger equation on a c…
On WKB theoretic transformations for Painleve transcendents on degenerate Stokes segments
Kohei Iwaki
The WKB theoretic transformation theorem established in [KT2] implies that the first Painleve equation gives a normal form of Painleve equations with a large parameter near a simpl…
Voros coefficients of the third Painelv'e equation and parametric Stokes phenomena
Kohei Iwaki
We compute all Voros coefficients of the third Painleve equation of the type D6 (in the sense of [OKSO]) and discuss the parametric Stokes phenomena occurring to formal transseries…
Parametric Stokes phenomenon for the second Painlevé equation with a large parameter
Kohei Iwaki
The second Painlevé equation with a large parameter () is analyzed by using the exact WKB analysis. The purpose of this study is to investigate the problem of the degenerat…