I have the following question:
Given that
Find a funvtion such that
is an analytic function of . Find explicitly in terms of .
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I know how to do these type of questions by using Cauchy-Riemann equations but I was wondering if there was a way of making this one simpler as it becomes very tedious. Is there an identity I can use to make the process much simpler?
Yes I know how to solve it, but the problem involved lots of calculus and it got all messed up and way too long, so I was thinking that there must be an identity so that I could simplify the problem and make it more bearable so that im not insane by the end of the question.