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1: 32.17 Methods of Computation

… ►For numerical studies of ${\text{P}}_{\text{IV}}$ see Bassom et al. (1993).

2: Bibliography B

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Integral equations and exact solutions for the fourth Painlevé equation. Proc. Roy. Soc. London Ser. A 437, pp. 1–24.

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External Links:

ISSN 0962-8444, FullText, MathReview (Mehmet Can), ZentralBlatt

Referenced by:

§32.11(v), §32.2(iii).

Encodings:

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Numerical studies of the fourth Painlevé equation. IMA J. Appl. Math. 50 (2), pp. 167–193.

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External Links:

ISSN 0272-4960, Document, MathReview, ZentralBlatt

Referenced by:

§32.17, §32.3(iii).

Encodings:

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Bäcklund transformations and solution hierarchies for the fourth Painlevé equation. Stud. Appl. Math. 95 (1), pp. 1–71.

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External Links:

ISSN 0022-2526, MathReview (Andrei A. Kapaev), ZentralBlatt

Referenced by:

§32.10(iv), §32.2(iii), §32.7(iv), §32.8(iv).

Encodings:

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Application of uniform asymptotics to the second Painlevé transcendent. Arch. Rational Mech. Anal. 143 (3), pp. 241–271.

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External Links:

ISSN 0945-8396, Document, MathReview (Andrei A. Kapaev), ZentralBlatt

Referenced by:

§32.11(ii).

Encodings:

BibTeX

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3: 32.3 Graphics

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4: 32.2 Differential Equations

… ►See also Okamoto (1987c), McCoy et al. (1977), Bassom et al. (1992), Bassom et al. (1995), and Takasaki (2001). …

5: 32.11 Asymptotic Approximations for Real Variables

… ►For illustration see Figures 32.3.5 and 32.3.6, and for further information see Ablowitz and Clarkson (1991), Bassom et al. (1998), Clarkson and McLeod (1988), Deift and Zhou (1995), Segur and Ablowitz (1981), and Suleĭmanov (1987). …

6: 32.8 Rational Solutions

… ►For examples and plots see Bassom et al. (1995); also Clarkson (2003b). …

7: 32.10 Special Function Solutions

… ►For examples and plots see Bassom et al. (1995). …

8: Bibliography M

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Bäcklund transformations and solution hierarchies for the third Painlevé equation. Stud. Appl. Math. 98 (2), pp. 139–194.

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External Links:

ISSN 0022-2526, Document, MathReview (Alexander Vladimirovich Kitaev), ZentralBlatt

Referenced by:

§32.10(iii), §32.7(iii), §32.8(iii), §32.9(i).

Encodings:

BibTeX

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9: 32.7 Bäcklund Transformations

… ►See Bassom et al. (1995). …