An addition to the <IMG >-theorem for subharmonic and entire functions of zero lower order期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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An addition to the -theorem for subharmonic and entire functions of zero lower order

Authors:	I E Chyzhykov

Institution:	Department of Mechanics and Mathematics, Lviv National University, Universytetska 1, Lviv, 79000, Ukraine

Abstract:	We obtain a sharp asymptotic relation between the infimum and the maximum on a circle of a subharmonic function of zero lower order. An example is constructed, which shows the sharpness of the relation in the class of entire functions of zero order such that $\log M(r,f)/\log ^2 r\to+\infty$ , where $M(r,f)=\max \{\vert f(z)\vert: \vert z\vert=r\}$ as $r\to+\infty$ .

Keywords:	Subharmonic function $\cos\pi\rho$-theorem entire function minimum modulus

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