| 有穷正级亚纯函数的T方向和Borel方向 |
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| 引用本文： | 张庆德.有穷正级亚纯函数的T方向和Borel方向[J].数学学报,2007,50(2):413-420. |
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| 作者姓名： | 张庆德 |
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| 作者单位： | 成都信息工程学院计算科学系 成都 |
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| 基金项目： | 国家自然科学基金(10271122) |
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| 摘 要： | 对任意正数λ,正整数q_1和q_2,记E_1={argz=θ_j|0∣θ_1＜θ_2<…＜θ_(q1)＜2π}及E_2={axgz=φ_j|0■1＜φ2＜…＜φq2＜2π},使得E_1∩E_2=■,则(1)存在复平面上的λ级亚纯函数f(z),恰以E_1∪E_2为其T方向且恰以E_2为其Borel方向,(2)存在复平面上的级与下级均为λ的亚纯函数g(z),恰以E_1∪E_2为其Borel方向且恰以E_2为其T方向．
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| 关 键 词： | 有穷正级亚纯函数 T方向 Borel方向 |
| 文章编号： | 0583-1431（2007）02-0413-08 |
| 收稿时间： | 2005-10-31 |
| 修稿时间： | 2005-10-28 |
T Direction and Borel Direction of Meromorphic Functions of Finite and Positive Order |
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| Qing De ZHANG.T Direction and Borel Direction of Meromorphic Functions of Finite and Positive Order[J].Acta Mathematica Sinica,2007,50(2):413-420. |
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| Authors: | Qing De ZHANG |
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| Institution: | Department of Computational Science, Chengdu University of Information Technology, Chengdu 610225, P. R. China |
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| Abstract: | Let λ be a positive number,q_1 and q_2 be positive integers.Assume that E_1={arg z=θ_j|0■θ_1＜θ_2＜…＜θ_(q1)＜2π} and E_2={arg z=Φ_j|0■＜φ_1＜φ_2＜…＜φ_(q2)＜2π} such that E_1∩E_2=■.Then (1) there exists a meromorphic function f(z) of order λ with E_1 ∪ E_2 as its T direction and E_2 as its Borel direction, (2) there exists a meromorphic function g(z) of order and lower order λ with E_1 ∪ E_2 as its Borel direction and E_2 as its T direction. |
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| Keywords: | meromorphic functions of finite and positive order T direction Borel direction |
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