Ellie
Banned

hi, can you plz help me with complex analysis problem:

The function f(z) = e^(z+i*pi) has infinitely many points in the fiber of each point in its range.
(A) Find four points that map to 1
(B) The natural inverse of f(z), say g(z) maps each point in its domain to infinitely points, as with log(z). For example, g(1) is infinitely many points, including the four you provided in the first part of the problem.
i. Choose a branch of g(z)
ii. Sketch the domain of this branch
iii. Sketch the range of this branch
IV, Indicate which point in the set g(1) is the image of 1 under your branch.

Thanx for your friend request Ellie, I hope I prove worthy.

Hello, Ellie!

why me as a friend?-the only thing exciting about me is I that get 86'd every once in awhile for breathing controversy into the so called science suposedly discussed on this forum.
Mike

Welcome, Ellie.

Well what a nice way to start the day.... we both made a new frind... each other :-)