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NIST
14 Legendre and Related FunctionsComplex Arguments

§14.22 Graphics

In the graphics shown in this section, height corresponds to the absolute value of the function and color to the phase. See also About Color Map.

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Figure 14.22.1: P1/20(x+iy), -5x5, -5y5. There is a cut along the real axis from - to -1. Magnify 3D Help
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Figure 14.22.2: P1/2-1/2(x+iy), -5x5, -5y5. There is a cut along the real axis from - to 1. Magnify 3D Help
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Figure 14.22.3: P1/2-1(x+iy), -5x5, -5y5. There is a cut along the real axis from - to 1. Magnify 3D Help
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Figure 14.22.4: Q00(x+iy), -5x5, -5y5. There is a cut along the real axis from -1 to 1. Magnify 3D Help