亚纯函数差分的不动点

数学物理学报 ›› 2019, Vol. 39 ›› Issue (6): 1476-1482.

亚纯函数差分的不动点

吴昭君()

湖北科技学院数学与统计学院湖北咸宁 437100

收稿日期:2018-07-04 出版日期:2019-12-26 发布日期:2019-12-28
作者简介:吴昭君, E-mail: wuzj52@hotmail.com
基金资助:
湖北省教育厅科学技术研究项目重点项(D20182801)

Fixed Points of Meromorphic Functions and Their Differences

Zhaojun Wu()

School of Mathematics and Statistics, Hubei University of Science and Technology, Hubei Xianning 437100

Received:2018-07-04 Online:2019-12-26 Published:2019-12-28
Supported by:
the Natural Science Foundation of Hubei Provincial Department of Education(D20182801)

摘要/Abstract

摘要：

设f是定义在复平面上的超越亚纯函数，k为任意正整数.记Δf=f（z+1）-f（z），Δ^k+1 f=Δ^kf（z+1）-Δ^kf，k=1，2，….文章讨论了亚纯函数f的差分Δ^kf的不动点.所得结果推广了一些已有的相关结果.

关键词: 差分, 不动点, 亏量, 亚纯函数

Abstract:

Let f be a transcendental meromorphic function in the complex plane C, k is a positive integer, Δf=f(z+1)-f(z), Δ^k+1 f=Δ^k f(z+1)-Δ^k f, k=1, 2, …. The author prove some results concerning the fixed points of the differences Δ^k f. The results obtained in this paper generalize some relative results.

Key words: Differences, Fixed point, Dificiency, Meromorphic function

中图分类号:

O174.52

吴昭君. 亚纯函数差分的不动点[J]. 数学物理学报, 2019, 39(6): 1476-1482.

Zhaojun Wu. Fixed Points of Meromorphic Functions and Their Differences[J]. Acta mathematica scientia,Series A, 2019, 39(6): 1476-1482.

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