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5 Gamma FunctionProperties

§5.3 Graphics

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§5.3(i) Real Argument

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Figure 5.3.1: Γ(x) and 1/Γ(x). x0=1.46, Γ(x0)=0.88; see §5.4(iii). Magnify
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Figure 5.3.2: lnΓ(x). This function is convex on (0,); compare §5.5(iv). Magnify
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Figure 5.3.3: ψ(x). Magnify

§5.3(ii) Complex Argument

In the graphics shown in this subsection, both the height and color correspond to the absolute value of the function. See also About Color Map.

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Figure 5.3.4: |Γ(x+iy)|. Magnify 3D Help
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Figure 5.3.5: 1/|Γ(x+iy)|. Magnify 3D Help
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Figure 5.3.6: |ψ(x+iy)|. Magnify 3D Help