| 平面上有限级随机D irichlet级数的亏函数 |
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| 引用本文： | 罗仕乐, 孙道椿. 平面上有限级随机D irichlet级数的亏函数[J]. 华南师范大学学报（自然科学版）, 2007, (4): 24. |
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| 作者姓名： | 罗仕乐 孙道椿 |
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| 作者单位： | 韶关学院数学系,广东韶关,512005;华南师范大学数学科学学院,广东广州,510631 |
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| 摘 要： | 对平面上非常一般的随机Dirichlet级数的值分布进行了研究,通过共形映射把平面上的Dirichlet级数变换为单位圆内的解析函数,利用Nevalinna值分布理论对平面上有限级随机Dirichlet级数的亏函数进行了讨论,证明了有限级随机Dirichlet 级数几乎必然没有亏函数.
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| 关 键 词： | 有限级 Dirichlet级数 随机级数 亏函数 |
| 文章编号： | 1000-5463（2007）04-0024-06 |
| 修稿时间： | 2006-12-14 |
DEFICIENT FUNCTIONS OF RANDOM DIRICHLET SERIES ORDER ON THE PLANE |
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| LUO Shi-le,SUN Dao-chun. DEFICIENT FUNCTIONS OF RANDOM DIRICHLET SERIES ORDER ON THE PLANE[J]. Journal of South China Normal University(Natural Science Edition), 2007, 0(4): 24-29 |
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| Authors: | LUO Shi-le SUN Dao-chun |
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| Affiliation: | 1. Department of Mathematics, Shaoguan University, Shaoguan 512005, Guangdong, China; 2. School of Mathematics, South China Normal University, Guangzhou 510631, China |
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| Abstract: | The value distribution of the common random Dirichlet series on the plane is studied. Dirichlet series on the plane is transformed into an analytic function in the unit circle through conformal mapping, and deficient functions of random Dirichlet series of finite order on the plane is discussed by the theory of Nevalinna value distribution. A conclusion that any random Dirichlet series of finite order almost surely do not have deficient function is proved. |
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| Keywords: | finite order Dirichlet series random series deficient function. |
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