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Chapter 32 Painlevé Transcendents

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Notes:
The survey article Clarkson (2006) covers all topics treated in this chapter.
Referenced by:
Peter A. Clarkson, Organization and Objective
Permalink:
http://dlmf.nist.gov/32
P. A. Clarkson
School of Mathematics, Statistics & Actuarial Science, University of Kent, Canterbury, United Kingdom.
   
  • 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
© 2010–2012 NIST / Privacy Policy / Disclaimer / Feedback; Version 1.0.5; Release date 2012-10-01. A Printed Companion is available. ⇐ 31.18 Methods of Computation32.1 Special Notation ⇒