关于小函数的线性方向

IF 0.7 Q2 MATHEMATICS Tamkang Journal of Mathematics Pub Date : 2021-05-25 DOI:10.5556/J.TKJM.29.1998.4289

T. Chern

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引用次数: 0

摘要

设J是有限复平面c上的一个亚纯函数，我们通过T(r, J)(To(r， !))给出J的Nevanlinna(Ahlfors-Shmizu)特征函数。如果T(r, a(z)) = 0 (T(r, J))，则亚纯函数a(z)(包括c在Cu {oo}中的f(z) == c的情况)相对于f较小，则称其为r -， +oo。我们让n(兀0)本文讨论了有限正阶亚纯函数关于小函数的Borel方向的存在性。利用Tsuji的方法，我们将主要证明摘要中的定理1。定理~推广了Chuang [2, p.127，推论5.3]的结果，在所有扩展复数bm·s上存在一个(z} 本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ON BOREL DIRECTION CONCERNING SMALL FUNCTIONS

Let J be a function meromorphic in the finite complex plane C. We donate by T(r, J)(To(r, !)) the Nevanlinna(Ahlfors-Shmizu) characteristic function of J. A mero morphic function a(z) (including the case f(z) == c where c in Cu {oo}) is called small with respect to f if T(r, a(z)) = o(T(r, J)) as r -, +oo. \Ve let n(兀 0. This paper deals with the existence of the Borel directions concerning small functions for mermorphic functions of finite positive order. Using Tsuji's method, we shall mainly prove Theorem 1 stated in the abstract. Theorem~extends a result of Chuang [2, p.127, Corollary 5.3], there a(z} are restricte

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

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期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.