§32.12 Asymptotic Approximations for Complex Variables

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Keywords:: Painlevé transcendents, asymptotic approximations, complex variables
Permalink:: http://dlmf.nist.gov/32.12
See also:: Annotations for Ch.32

§32.12(i) First Painlevé Equation

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Permalink:: http://dlmf.nist.gov/32.12.i
See also:: Annotations for §32.12 and Ch.32

See Boutroux (1913), Kapaev and Kitaev (1993), Takei (1995), Costin (1999), Joshi and Kitaev (2001), Kapaev (2004), and Olde Daalhuis (2005b).

§32.12(ii) Second Painlevé Equation

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Permalink:: http://dlmf.nist.gov/32.12.ii
See also:: Annotations for §32.12 and Ch.32

See Boutroux (1913), Novokshënov (1990), Kapaev (1991), Joshi and Kruskal (1992), Kitaev (1994), Its and Kapaev (2003), and Fokas et al. (2006, Chapter 7).

§32.12(iii) Third Painlevé Equation

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Keywords:: Painlevé transcendents, asymptotic approximations
Permalink:: http://dlmf.nist.gov/32.12.iii
See also:: Annotations for §32.12 and Ch.32

See Fokas et al. (2006, Chapter 16).

§32.12 Asymptotic Approximations for Complex Variables

Contents

§32.12(i) First Painlevé Equation

§32.12(ii) Second Painlevé Equation

§32.12(iii) Third Painlevé Equation

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