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6000 DLMF: §15.3 Graphics ‣ Properties ‣ Chapter 15 Hypergeometric Function

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15 Hypergeometric Function Properties 15.2 Definitions and Analytical Properties 15.4 Special Cases

§15.3 Graphics

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Permalink:: http://dlmf.nist.gov/15.3
See also:: Annotations for Ch.15

Contents

§15.3(i) Graphs

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Keywords:: graphics, hypergeometric function
Notes:: These graphics were produced at NIST.
Permalink:: http://dlmf.nist.gov/15.3.i
See also:: Annotations for §15.3 and Ch.15

See accompanying text — Figure 15.3.1: $F\left(\tfrac{4}{3},\tfrac{9}{16};\tfrac{14}{5};x\right),-100\leq x\leq 1$ . Magnify

See accompanying text — Figure 15.3.1: $F\left(\tfrac{4}{3},\tfrac{9}{16};\tfrac{14}{5};x\right),-100\leq x\leq 1$ . Magnify

See accompanying text — Figure 15.3.3: $F\left(1,-10;10;x\right),-3\leq x\leq 1$ . Magnify

See accompanying text — Figure 15.3.3: $F\left(1,-10;10;x\right),-3\leq x\leq 1$ . Magnify

§15.3(ii) Surfaces

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Keywords:: graphics, hypergeometric function
Notes:: These graphics were produced at NIST.
Permalink:: http://dlmf.nist.gov/15.3.ii
See also:: Annotations for §15.3 and Ch.15

In Figures 15.3.5 and 15.3.6, height corresponds to the absolute value of the function and color to the phase. See also About Color Map.

See accompanying text — Figure 15.3.5: $F\left(\tfrac{4}{3},\tfrac{9}{16};\tfrac{14}{5};x+\mathrm{i}y\right),0\leq x% \leq 2,-0.5\leq y\leq 0.5$ . (There is a cut along the real axis from $1$ to $\infty$ .) Magnify 3D Help

See accompanying text — Figure 15.3.5: $F\left(\tfrac{4}{3},\tfrac{9}{16};\tfrac{14}{5};x+\mathrm{i}y\right),0\leq x% \leq 2,-0.5\leq y\leq 0.5$ . (There is a cut along the real axis from $1$ to $\infty$ .) Magnify 3D Help

See accompanying text — Figure 15.3.7: $|\mathbf{F}\left(-3,\frac{3}{5};u+\mathrm{i}v;\frac{1}{2}\right)|,-6\leq u\leq 2% ,-2\leq v\leq 2$ . Magnify 3D Help

15.2 Definitions and Analytical Properties 15.4 Special Cases

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