ZEROS AND FIXED POINTS OF DIFFERENCE OPERATORS OF MEROMORPHIC FUNCTIONS

Let f be a transcendental meromorphic function and △f（z） = f（z ＋ 1） -- f（z） A number of results are proved concerning the existences of zeros and fixed points of Af（z） and △f（z）/f（z） when f（z） is of order σ（f）=1. Examples show that some of the results are sharp....

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Bibliographic Details
Published inActa mathematica scientia Vol. 33; no. 3; pp. 773 - 780
Main Author 崔巍巍 杨连忠
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2013
School of Mathematics, Shandong University, Jinan 250100, China
Subjects
30D35
39A05
complex difference
Entire functions
fixed points
Fixed points (mathematics)
Meromorphic functions
Operators
Zeros
不动点
固定点
差分算子
自动对焦
超越亚纯函数
零点
complex difference
Entire functions
fixed points
meromorphic functions
Zeros
39A05
30D35
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(13)60037-5

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Summary:Let f be a transcendental meromorphic function and △f（z） = f（z ＋ 1） -- f（z） A number of results are proved concerning the existences of zeros and fixed points of Af（z） and △f（z）/f（z） when f（z） is of order σ（f）=1. Examples show that some of the results are sharp.
Bibliography:Entire functions; meromorphic functions; complex difference; fixed points;Zeros
42-1227/O
Let f be a transcendental meromorphic function and △f（z） = f（z ＋ 1） -- f（z） A number of results are proved concerning the existences of zeros and fixed points of Af（z） and △f（z）/f（z） when f（z） is of order σ（f）=1. Examples show that some of the results are sharp.
Weiwei CUI LianzhongYANC（School of Mathematics, Shandong University, Jinan 250100, China）
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(13)60037-5