- #1
sweetvirgogirl
- 116
- 0
find a one-to-one analytic function that maps the domain {} to upper half plane etc ...
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 I am 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 what's going on ...
the book doesn't explain this section well ...
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 I am 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 what's going on ...
the book doesn't explain this section well ...