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DLMF: §14.22 Graphics ‣ Complex Arguments ‣ Chapter 14 Legendre and Related Functions

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14 Legendre and Related Functions Complex Arguments 14.21 Definitions and Basic Properties 14.23 Values on the Cut

§14.22 Graphics

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Keywords:: associated Legendre functions, graphics
Notes:: These surfaces were produced at NIST.
Permalink:: http://dlmf.nist.gov/14.22
See also:: Annotations for Ch.14

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.

See accompanying text — Figure 14.22.1: $P^{0}_{\ifrac{1}{2}}\left(x+iy\right)$ , $-5\leq x\leq 5$ , $-5\leq y\leq 5$ . There is a cut along the real axis from $-\infty$ to $-1$ . Magnify 3D Help

See accompanying text — Figure 14.22.1: $P^{0}_{\ifrac{1}{2}}\left(x+iy\right)$ , $-5\leq x\leq 5$ , $-5\leq y\leq 5$ . There is a cut along the real axis from $-\infty$ to $-1$ . Magnify 3D Help

See accompanying text — Figure 14.22.3: $P^{-1}_{\ifrac{1}{2}}\left(x+iy\right)$ , $-5\leq x\leq 5$ , $-5\leq y\leq 5$ . There is a cut along the real axis from $-\infty$ to $1$ . Magnify 3D Help

See accompanying text — Figure 14.22.3: $P^{-1}_{\ifrac{1}{2}}\left(x+iy\right)$ , $-5\leq x\leq 5$ , $-5\leq y\leq 5$ . There is a cut along the real axis from $-\infty$ to $1$ . Magnify 3D Help

14.21 Definitions and Basic Properties 14.23 Values on the Cut

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