In studying complex numbers and calculus in general I have been following a line of logical inquiry to try to normalize the complex plane, while I have now figured out a normalization method I am still stumped as to why wolfram alpha has such a strange response to some other equation I used as an intermediate step. This is the equation in question:
A polar plot of the following: ζ(-s)^e + Γ^s/(π tan^(-1)(1/sqrt(2)))
The output cycles from one graph, generally to another before stopping and each time there's some random probability which graph I receive. I'm not sure if it's random or not, truly, to be clear. Just that I can't identify any pattern to which result will be displayed.
Included is a sample of one of the graphs it will display and a screenshot of the equation as well as a plain language version:
polar plot | ζ(-s)^e + Γ^s/(π tan^(-1)(1/sqrt(2)))
