- 116

- 0

for questions like these, do we just have to be blessed with good intuition or there are actually sound mathematical ways to come up with one-to-one analytic functions that satisfy the given requirement?

for example, for the domain {z:|z| > R and Im z > 0} ... if we have to find a one-to-one analytic function that maps the domain to the upper half plane... how do we do that? i know the final answer ... but i need mathematical reasoning ... i need someone to tell me step by step whats going on ...

the book doesnt explain this section well ...