Tabulation of PVI Transcendents and Parametrization Formulas (August 17, 2011)

Abstract

The critical and asymptotic behaviors of solutions of the sixth Painlevé equation PVI, obtained in the framework of the monodromy preserving deformation method, and their explicit parametrization in terms of monodromy data, are tabulated.

30 pages, 1 figure; Nonlinearity 2012

References in corpus (3)

• Matching Procedure for the Sixth Painlevé Equation (May 2006)
• On the Logarithmic Asymptotics of the Sixth Painleve' Equation (Summer 2007)
• Poles Distribution of PVI Transcendents close to a Critical Point (summer 2011)

Cited by in corpus (10)

• Classical Conformal Blocks and Painleve VI
• Isomonodromy, Painlevé Transcendents and Scattering off of Black Holes
• Kerr-de Sitter Greybody Factors via Isomonodromy
• Classical Conformal Blocks and Accessory Parameters from Isomonodromic Deformations
• A Review on The Sixth Painleve' Equation
• A Riemann-Hilbert Approach to the Heun Equation
• Analytic solutions of $q$-$P(A_1)$ near its critical points
• Roots of generalised Hermite polynomials when both parameters are large
• Three-Parameter Solutions of the PV Schlesinger-Type Equation near the Point at Infinity and the Monodromy Data
• On the convergence of formal power-log series solutions of an algebraic ODE