A. V. Kitaev

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19972005

most citedDessins d'Enfants, Their Deformations and Algebraic the Sixth Painlevé and Gauss Hypergeometric Functions

12 citations · 15 across the 3 of their papers we have counts for

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math.CA2005★ 3 cited

Remarks Towards the Classification of $R S_{4}^{2} (3)$ -Transformations and Algebraic Solutions of the Sixth Painlevé Equation

A. V. Kitaev

We introduce a notion of the divisor type for rational functions and show that it can be effectively used for the classification of the deformations of dessins d'enfants related wi…

math.CA2004

The Dirichlet Boundary Value Problem for Real Solutions of the first Painlevé Equation on Segments on Non-Positive Semi-Axis

N. Joshi, A. V. Kitaev

We develop a qualitative theory for real solutions of the equation $y^{''} = 6 y^{2} - x$ . In this work a restriction $x \leq 0$ is assumed. An important ingredient of our theory is the intro…

Remarks Towards the Classification of RS42​(3)-Transformations and Algebraic Solutions of the Sixth Painlevé Equation

The Dirichlet Boundary Value Problem for Real Solutions of the first Painlevé Equation on Segments on Non-Positive Semi-Axis

Remarks Towards the Classification of $R S_{4}^{2} (3)$ -Transformations and Algebraic Solutions of the Sixth Painlevé Equation