学术
国际标准刊号：ISSN 0255-7797
国内统一刊号：CN 42-1091
摘 要:
本文研究了右半平面内解析的Diriehlet级数的增长性，利用凸函数和一致收敛数的性质和几个引理，证明了连带级数的奇异点与原级数的增长性有关，并得到该连带级数的一些性质．[著者文摘]
关 键 词:
文章出处:
《数学杂志》-2008年28卷2期 -209-212页
Journal of Mathematics
分 类 号:
文献标识码:
A
文章编号:
0255-7797（2008）02-0209-04
[参考文献]
DIRICHLET SERIES AND IMPLICATIVE SERIES
KONG Yin-ying, SUN Dao-chun （1. Dept. of Math. and Computation Science, Guangdong University of Business Studies, Cuangzhou 510320, China;2. SchoolofMath. Sciences, South China NormalUniversity, Guangzhou 510631, China）
Abstract:
In this paper, we study the growth of Dirichlet series which is uniformly convergent in the right-half plane. By using several lemmas and some natures of the convex function and the uniformly convergent function, we prove that the singular points of implicative series are related to the growth of its original series, and obtain some their properties.[著者文摘]
Key words:
Dirichlet series; order; implicative series
收稿日期: 2005-08-20
修订日期: 2005-12-19
基金资助:
国家自然科学基金资助项目（10471048）
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