As to the fixed points, yes, they alwasys need to be reciprocals of each other (like in the linear fractional case),
because then the period \(2\pi i/\log( c)\) is either positive or negative when you set c=a, or c=b.
Good observation!
because then the period \(2\pi i/\log( c)\) is either positive or negative when you set c=a, or c=b.
Good observation!
