ON DIFFERENCE EQUATIONS RELATING TO GAMMA FUNCTION

We consider the existence, the growth, poles, zeros, fixed points and the Borel exceptional value of solutions for the following difference equations relating to Gamma function y（z ＋ 1） -y（z） = R（z） and y（z ＋ 1） = P （z）y（z）.

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Bibliographic Details
Published inActa mathematica scientia Vol. 31; no. 4; pp. 1281 - 1294
Main Authors Zongxuan, Chen, Zhibo, Huang, Ranran, Zhang
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2011
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
Subjects
30D35
39A10
Borel exceptional value
Borel例外值
difference equation
Difference equations
Gamma function
Gamma函数
Mathematical analysis
meromorphic function
Poles
伽玛函数
固定点
差分方程
极点
零点
difference equation
39A10
meromorphic function
30D35
Borel exceptional value
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Summary:We consider the existence, the growth, poles, zeros, fixed points and the Borel exceptional value of solutions for the following difference equations relating to Gamma function y（z ＋ 1） -y（z） = R（z） and y（z ＋ 1） = P （z）y（z）.
Bibliography:difference equation; meromorphic function; Borel exceptional value
42-1227/O
We consider the existence, the growth, poles, zeros, fixed points and the Borel exceptional value of solutions for the following difference equations relating to Gamma function y（z ＋ 1） -y（z） = R（z） and y（z ＋ 1） = P （z）y（z）.
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(11)60315-9