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arXiv · 0704.2858

Double covering of the Painlevé I equation and its singular analysis

Yusuke Sasano
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Abstract

In this note, we will do analysis of accessible singular points for a polynomial Hamiltonian system obtained by taking a double covering of the Painlevé I equation. We will show that this system passes the Painlevé $α$-test for all accessible singular points $P_i \ (i=1,2,3)$. We note its holomorphy condition of the first Painlevé system.

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Yusuke Sasano. 2016-05-13. Double covering of the Painlevé I equation and its singular analysis. https://arxiv.org/abs/0704.2858

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