亚纯函数的正规族与分担值

张庆德;秦春艳;

数学学报 ›› 2008, Vol. 51 ›› Issue (1) : 145-152.

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PDF(356 KB)
数学学报 ›› 2008, Vol. 51 ›› Issue (1) : 145-152. DOI: 10.12386/A2008sxxb0018
论文

亚纯函数的正规族与分担值

    张庆德;秦春艳;
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Normal Familles and Shared Values of Meromorphic Functions

    Qing De ZHANG; Chun Yan Qin
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摘要

根据Nevanlinna理论讨论了一族亚纯函数中每个函数与其k(k为任一正整数)阶导数单向分担3个有限复值时的正规性,并举例说明这一结果是精确的.

Abstract

On the basis of fundamental Nevanlinna theory the problem of normality of meromorphic functions that share three finite complex values with their k-th derivatives (k is any positive integer)is discussed and some examples are provided to show the result is sharp.

关键词

正规族 / 分担值 / 导数

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张庆德;秦春艳;. 亚纯函数的正规族与分担值. 数学学报, 2008, 51(1): 145-152 https://doi.org/10.12386/A2008sxxb0018
Qing De ZHANG; Chun Yan Qin. Normal Familles and Shared Values of Meromorphic Functions. Acta Mathematica Sinica, Chinese Series, 2008, 51(1): 145-152 https://doi.org/10.12386/A2008sxxb0018
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