A Theorem on the Geometric Mean of an Entire Function

A Theorem on the Geometric Mean of an Entire Function

Let f(z) = S anzn, z = re’6, be a power series which conver- n=o ges for ali z, and let M(r) = max |f(z)|, |z |= r p.(r) = max | an | rn, o- ’n < '/.

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  • Ankara Üniversitesi Communications, Series A1:Mathematics and Statistics