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5 Gamma FunctionProperties

§5.3 Graphics


§5.3(i) Real Argument

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

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