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A Generalization of Ankeny and Rivlin's Result on the Maximum Modulus of Polynomials not Vanishing in the Interior of the Unit Circle
Polynomial maximum modulus principle not vanishing in the interior of unit circle generalization sth derivative
2010/2/26
For an arbitrary entire function f(z), let M(f,r) = max|z|=r|f(z)|. For a polynomial p(z) of degree n, it is known that M(p,R) \leq Rn M(p,1), R > 1. By considering the polynomial p(z) with no zeros i...