Help me please.
Problem:
1)Let be an analityc function on the unit disk : and - polynom in domain .
Is analityc function in ?
2)Let be an entire function and polynom.
Is polynom ?
2) if f is analytic but not a polynomial, is an essential singular point of f, so it is also an essential singular point of f^2, which contradicts the fact that f^2 is a polynomial.