Lower estimates of the growth order of solutions to the second Painlevé hierarchy

DOI10.1063/1.4813974zbMath1288.34081OpenAlexW2013309545MaRDI QIDQ5407602

Yoshikatsu Sasaki

Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4813974

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monodromy- and spectrum-preserving deformations. I
• The spectrum of Hill's equation
• Painlevé differential equations in the complex plane
• Poles and \(\alpha\)-points of meromorphic solutions of the first Painlevé hierarchy
• The first and second Painlevé equations of higher order and some relations between them
• Some properties of the solutions of higher analogue of the Painlevé equation
• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
• On the Growth of Logarithmic Derivatives
• LOWER ESTIMATES FOR THE GROWTH OF THE FOURTH AND THE SECOND PAINLEVÉ TRANSCENDENTS
• Growth of the first, the second and the fourth Painlevé transcendents
• Lower Estimates for the Growth of Painlevé Transcendents
• On analytic properties of higher analogs of the second Painlevé equation
• Rational Solutions of Painlevé Equations

This page was built for publication: Lower estimates of the growth order of solutions to the second Painlevé hierarchy