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(Solved): I know I have to use the definition of the modulus in terms of the function times its complex conjug ...
I know I have to use the definition of the modulus in terms of the function times its complex conjugate, and the Cauchy product of two power series, but I do not know how to continue.
Let f(z)=?k=0n?ak?zk be a complex polynomial (ai??C) of degree n>0. Prove 2?i1???z?=R?zn?1?f(z)?2dz=a0?a?n?R2n