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Chapter 32 Painlevé Transcendents
P. A. Clarkson
School of Mathematics, Statistics & Actuarial Science, University of Kent, Canterbury, United Kingdom.

|Notation||記法|
|32.1|Special Notation|[[特殊表記>https://dlmf.nist.gov/32.1]]|
|Properties||プロパティ|
|32.2|Differential Equations|[[微分方程式>https://dlmf.nist.gov/32.2]]|
|32.3|Graphics|[[グラフィックス>https://dlmf.nist.gov/32.3]]|
|32.4|Isomonodromy Problems|[[アイソモノドローミーの問題>https://dlmf.nist.gov/32.4]]|
|32.5|Integral Equations|[[積分方程式>https://dlmf.nist.gov/32.5]]|
|32.6|Hamiltonian Structure|[[ハミルトニアン構造>https://dlmf.nist.gov/32.6]]|
|32.7|Bäcklund Transformations|[[ベックルンド変換>https://dlmf.nist.gov/32.7]]|
|32.8|Rational Solutions|[[Rational ソリューション>https://dlmf.nist.gov/32.8]]|
|32.9|Other Elementary Solutions|[[その他の基本的な解決策>https://dlmf.nist.gov/32.9]]|
|32.10|Special Function Solutions|[[特殊機能ソリューション>https://dlmf.nist.gov/32.10]]|
|32.11|Asymptotic Approximations for Real Variables|[[実数変数の漸近近似>https://dlmf.nist.gov/32.11]]|
|32.12|Asymptotic Approximations for Complex Variables|[[複素変数の漸近近似>https://dlmf.nist.gov/32.12]]|
|Applications||アプリケーション|
|32.13|Reductions of Partial Differential Equations|[[偏微分方程式の縮約>https://dlmf.nist.gov/32.13]]|
|32.14|Combinatorics|[[組み合わせ論>https://dlmf.nist.gov/32.14]]|
|32.15|Orthogonal Polynomials|[[直交多項式>https://dlmf.nist.gov/32.15]]|
|32.16|Physical Applications|[[物理的なアプリケーション>https://dlmf.nist.gov/32.16]]|
|Computation||計算|
|32.17|Methods of Computation|[[計算方法>https://dlmf.nist.gov/32.17]]|