Entire functions defined by Dirichlet series

被引：8

作者：

Shang, Lina ^{[1
,2
]}

Gao, Zongsheng ^{[1
,2
]}

机构：

[1] Beihang Univ, LMIB, Beijing 100083, Peoples R China

[2] Beihang Univ, Dept Math, Beijing 100083, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 02期

关键词：

pits property; maximum modulus; maximum term; index of maximum term;

D O I：

10.1016/j.jmaa.2007.06.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper has the object of showing that entire functions defined by Dirichlet series behave in many respects like lacunary entire functions. Both have the property of being large except in very small neighbourhoods of their zeros. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：853 / 862

页数：10

共 7 条

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[2] LACUNARY ENTIRE-FUNCTIONS
OFFORD, AC
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[4] OFFORD AC, 1965, P LONDON MATH SOC A, V14, P199, DOI DOI 10.1112/PLMS/S3-14A.1.199
[5] Entire functions and Borel's directions
Valiron, G
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1934, 20 : 211 - 215
[6] Valiron G., 1954, Fonctions Analytiques
[7] Yu J.R., 1951, ANN SCI ECOLE NORMAL, V68, P65, DOI [10.24033/asens.986, DOI 10.24033/ASENS.986]

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