Growth of subharmonic functions of order greater than half

  • Seid Mohammed Department of Mathematics, Faculty of Science, Addis Ababa University PO Box 1176, Addis Ababa, Ethiopia
Keywords: Order, Pólya peaks, star function, subharmonic

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
Published
2005-10-18
Section
Articles

Journal Identifiers


eISSN: 2520-7997
print ISSN: 0379-2897