The triple-zero Painlevé I transcendent

2016/07/24 by Robinson, P. L.
#33E17 #34C10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.07088

Abstract

We offer elementary proofs for fundamental properties of the unique triple-zero solution to the first Painlevé equation.

Related

• Painlevé IV: roots and zeros
• Homogeneous Painlevé II transcendents
• A unified approach to the Painleve Transcendents
• Painlevé II transcendents and their squares
• Power solution expansions of the analogue tothe first Painleve equation