Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 1982 / Cilt: 31 #74353

A Theorem on the Geometric Mean of an Entire Function

Sayfa
192–194
DOI
—

Abstract

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 < '/.