Let be an entire function such that for all x, y,
and . Find f .
First I thought that working using Euler's notation would make the thing simpler. Let
The condition are thus
and .
Then where
. Since this is a composition of entire function it should be an entire function.
I'm not comfortable with complex variables so I ask for some help. The question suggest there might be a single but I [think I] found many. Does what is above makes any sense?