Homogeneous Painlevé II transcendents

2016/08/06 by P. L. Robinson, Robinson, P. L.
Mathematics · Physics and Astronomy · #Meromorphic and Entire Functions #Advanced Differential Equations and Dynamical Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1608.02139

Abstract

We offer elementary proofs for fundamental properties of solutions to the homogeneous second Painlevé equation.

Related

• Painlevé II transcendents and their squares
• The Painlevé transcendents with solvable monodromy
• A unified approach to the Painleve Transcendents
• Classical transcendental solutions of the Painlevé equations and their degeneration
• Algebraic relations between solutions of Painlevé equations