Results of Painlevé Transcendents

Notation

32.1 Special Notation

Properties

32.2 Differential Equations
32.3 Graphics
32.4 Isomonodromy Problems
32.5 Integral Equations
32.6 Hamiltonian Structure
32.7 Bäcklund Transformations
32.8 Rational Solutions
32.9 Other Elementary Solutions
32.10 Special Function Solutions
32.11 Asymptotic Approximations for Real Variables
32.12 Asymptotic Approximations for Complex Variables

Applications

32.13 Reductions of Partial Differential Equations
32.14 Combinatorics
32.15 Orthogonal Polynomials
32.16 Physical Applications

Computation

32.17 Methods of Computation