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Digital Library of Mathematical Functions

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32 Painlevé Transcendents Properties 32.3 Graphics 32.3 Graphics 32.4 Isomonodromy Problems

Figure 32.3.10 (See in context.)

See accompanying text

Figure 32.3.10: $u_{k}(x;\tfrac{5}{2})$ for $-12\leq x\leq 4$ with $k=0.24499\;2$ , 0.24499 3. The two graphs are indistinguishable when

exceeds −0.6, approximately. The curves $u^{2}+\tfrac{1}{3}x\pm\tfrac{1}{6}\sqrt{x^{2}+36}=0$ are shown in green and black, respectively.

Annotations:

Symbols:: : real, : real and $u_{k}(x;\nu)$ : solution
Permalink:: http://dlmf.nist.gov/32.3.F10.mag
Encodings:: Magnified png, pdf

© 2010–2013 NIST / Privacy Policy / Disclaimer / Feedback; Version 1.0.6; Release date 2013-05-06 Math-Image version (See MathML) . A Printed Companionis available. 32.3 Graphics 32.4 Isomonodromy Problems