Growth of subharmonic functions of order greater than half

Author: Mohammed, Seid

Source: SINET: Ethiopian Journal of Science, Volume 27, Number 2, December 2004 , pp. 93-96(4)

Publisher: Faculty of Science, Addis Ababa, Ethiopia

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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.

Keywords: ORDER; POLYA PEAKS; STAR FUNCTION; SUBHARMONIC

Document Type: Research article

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