Digital Library of Mathematical Functions
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32 Painlevé TranscendentsProperties32.3 Graphics

Figure 32.3.9 (See in context.)

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Figure 32.3.9: u_{k}(x;\tfrac{3}{2}) for -12\leq x\leq 4 with k=0.38736, 0.38737. The two graphs are indistinguishable when x exceeds −1.0, approximately. The curves u^{2}+\tfrac{1}{3}x\pm\tfrac{1}{6}\sqrt{x^{2}+24}=0 are shown in green and black, respectively.
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x: real, k: real and u_{k}(x;\nu): solution
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