use the Cauchy residue theorem show that for any integer ,
where is a circle of radius unity centred at
this part was easy enough.
(by Cauchy residue theorem)
if not 0, or if
now i have to use this result to deduce that, if you are given
then
and
where is the derivative of with respect to z
i have no idea how to even start the second part of this question!! any tips??
this is a different question but is the same kind of stuff...
you are given
where is a circle of radius unity centred at and is a circle of radius unity centred at and
with being a constant and being the derivative of with respect to
show that
any ideas????