DLMF: GA.3 Graphics

Sources:

These graphics were computed at NIST.

Notes:

These graphs were produced at NIST.

GA.3.1 $\Gamma\!\left(x\right)$ and $1/\Gamma\!\left(x\right)$ . $x_{0}=1.46\dots$ , $\Gamma\!\left(x_{0}\right)=0.88\dots$ ; see §GA.4(iii).

GA.3.2 $\mathrm{ln}\Gamma\!\left(x\right)$ . This function is convex on $(0,\infty)$ ; compare §GA.5(iv).

GA.3.3 $\psi\!\left(x\right)$ .

Notes:

These surfaces were produced at NIST.

GA.3.4 $|\Gamma\!\left(x+iy\right)|$ .

GA.3.5 $1/|\Gamma\!\left(x+iy\right)|$ .

GA.3.6 $|\psi\!\left(x+iy\right)|$ .