大于1 / 2阶次调和函数的增长

Sinet, Ethiopian Journal of Science Pub Date : 2005-10-18 DOI:10.4314/SINET.V27I2.18238

S. Mohammed

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引用次数: 0

摘要

本文研究了半阶以上次调和函数在Polya峰附近的增长和渐近性质。在某种程度上，我们的结果是佩利猜想的推广。所采用的方法是通过正规次调和函数族的非渐近方法。关键词:序，Polya峰，星函数，次谐波SINET;中国科学:Vol. 27 (2) 2004: 93-97

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Growth of subharmonic functions of order greater than half

In this paper we shall study the growth and asymptotic behaviour of sub-harmonic functions of order greater than half near Polya 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, Polya peaks, star function, subharmonic SINET: Ethiopian Journal of Science Vol. 27 (2) 2004: 93-97

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Sinet, Ethiopian Journal of Science

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