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On the Growth of Logarithmic Difference of Meromorphic Functions and a Wiman-Valiron Estimate

文献类型：期刊论文

作者Chiang, Yik-Man1; Feng, Shaoji2
刊名CONSTRUCTIVE APPROXIMATION
出版日期2016-12-01
卷号44期号:3页码:313-326
关键词Difference Wiman-Valiron estimates Finite order meromorphic functions Linear difference equations
ISSN号0176-4276
DOI10.1007/s00365-016-9324-8
英文摘要This paper gives a precise asymptotic relation between higher-order logarithmic difference and logarithmic derivatives for meromorphic functions with order strictly less then one. This allows us to formulate a useful Wiman-Valiron type estimate for logarithmic difference of meromorphic functions of small order. We then apply this estimate to prove a classical analogue of Valiron about entire solutions to linear differential equations with polynomial coefficients for linear difference equations.
资助项目Research Grants Council of the Hong Kong Special Administrative Region, China[GRF600609] ; Research Grants Council of the Hong Kong Special Administrative Region, China[GRF601111] ; HKUST PDF Matching Fund ; National Natural Science Foundation of China[11271352]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000386607500001
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/23909]  
专题系统科学研究所
通讯作者Chiang, Yik-Man
作者单位1.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Chiang, Yik-Man,Feng, Shaoji. On the Growth of Logarithmic Difference of Meromorphic Functions and a Wiman-Valiron Estimate[J]. CONSTRUCTIVE APPROXIMATION,2016,44(3):313-326.
APA Chiang, Yik-Man,&Feng, Shaoji.(2016).On the Growth of Logarithmic Difference of Meromorphic Functions and a Wiman-Valiron Estimate.CONSTRUCTIVE APPROXIMATION,44(3),313-326.
MLA Chiang, Yik-Man,et al."On the Growth of Logarithmic Difference of Meromorphic Functions and a Wiman-Valiron Estimate".CONSTRUCTIVE APPROXIMATION 44.3(2016):313-326.

入库方式： OAI收割

来源：数学与系统科学研究院

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