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Chapter 32
Painlevé Transcendents
P. A. Clarkson
School of Mathematics, Statistics & Actuarial Science, University of Kent, Canterbury, United Kingdom.
Notes:
The survey article
Clarkson (
2006
)
covers all topics treated in this chapter.
Referenced by:
Profile
Peter A. Clarkson
,
§
Chapter Authors
,
§
Associate Editors
,
Organization and Objective
Permalink:
http://dlmf.nist.gov/32
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
Computation
32.17
Methods of Computation
