03/16/2013, 12:32 AM
Together with a friend (mick) i was wondering about the following.
Let g be an entire function.
Let A be a jordan curve on the riemann sphere going through the point oo.
Let g(A)=B be a similar curve that has no points in common with A. (so A is not free to choose !)
Let x be any element of A then we have
f(x) = f(g(x))
In particular for this forum ofcourse g(x) = exp(x).
regards
tommy1729
Let g be an entire function.
Let A be a jordan curve on the riemann sphere going through the point oo.
Let g(A)=B be a similar curve that has no points in common with A. (so A is not free to choose !)
Let x be any element of A then we have
f(x) = f(g(x))
In particular for this forum ofcourse g(x) = exp(x).
regards
tommy1729