零级数Dirichlet级数的增长性

数学季刊 ›› 2010, Vol. 25 ›› Issue (2): 282-286.

零级数Dirichlet级数的增长性

1. Department of Applied Mathematics, Northwestern Polytechnical University2. School of Mathematics and Statistics, Tianshui Normal University

收稿日期:2006-09-04 出版日期:2010-06-30 发布日期:2023-06-06
作者简介:DING Xiao-qing(1958-), male, native of Liquan, Shaanxi, a professor of Northwestern Polytechnical University, engages in the theory of functions.
基金资助:

Growth of Entire Dirichlet Series of Order Zero

1. Department of Applied Mathematics, Northwestern Polytechnical University2. School of Mathematics and Statistics, Tianshui Normal University

Received:2006-09-04 Online:2010-06-30 Published:2023-06-06
About author:DING Xiao-qing(1958-), male, native of Liquan, Shaanxi, a professor of Northwestern Polytechnical University, engages in the theory of functions.

摘要/Abstract

摘要： This note deals with the growth of entire Dirichlet series of order zero and the coefficient characteristic of the type under a kind of weaker exponent condition, and improves some known results. Moreover, the regular growth of the series is considered under the same exponent condition, and a sufficient condition of the regular growth is given.

关键词: Dirichlet series, growth, type, regular growth

Abstract: This note deals with the growth of entire Dirichlet series of order zero and the coefficient characteristic of the type under a kind of weaker exponent condition, and improves some known results. Moreover, the regular growth of the series is considered under the same exponent condition, and a sufficient condition of the regular growth is given.

Key words: Dirichlet series, growth, type, regular growth

中图分类号:

O173

丁晓庆, 刘薇. 零级数Dirichlet级数的增长性[J]. 数学季刊, 2010, 25(2): 282-286.

DING Xiao-qing, LIU Wei. Growth of Entire Dirichlet Series of Order Zero[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(2): 282-286.

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