Growth of subharmonic functions of order greater than half

Abstract

In this paper we shall study the growth and asymptotic behaviour of sub-harmonic functions of order greater than half near Pólya peaks. In some way our result is a generalization of Paley\'s conjecture. The method employed is a non-asymptotic via a normal family of subharmonic functions.


Key words/phrases: Order, Pólya peaks, star function, subharmonic

SINET: Ethiopian Journal of Science Vol. 27 (2) 2004: 93-97