Image: Factorial05

Description: Description=Amplitude  ρ {\displaystyle ~\rho ~} and phase  φ {\displaystyle ~\varphi ~} of !actorial f=ρexp⁡(iφ)=(x+iy)!=Γ(x+iy+1){\displaystyle f=\rho \exp({\rm {i}}\varphi )=(x+{\rm {i}}y)!=\Gamma (x+{\rm {i}}y+1)} in the complex x+iy{\displaystyle x+{\rm {i}}y} plane. Several levels of constant modulus (amplitude) ρ=const{\displaystyle \rho ={\rm {const}}} and constant phase φ=const{\displaystyle \varphi ={\rm {const}}} are shown. Set  f<0 {\displaystyle ~f<0~} is shown with scratched line. The grid covers range  −3≤x≤3 {\displaystyle ~-3\leq x\leq 3~},  −2≤y≤2 {\displaystyle ~-2\leq y\leq 2~} with unit step.
Title: Factorial05
Credit: Own work
Author: Domitori (Dmitrii Kouznetsov)
Permission: The copyright holder of this file allows anyone to use it for any purpose, provided that the copyright holder is properly attributed. Redistribution, derivative work, commercial use, and all other use is permitted. Attribution
License: Attribution