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

doi:10.1007/s00365-016-9324-8

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	On the Growth of Logarithmic Difference of Meromorphic Functions and a Wiman-Valiron Estimate
	Chiang, Yik-Man 1; Feng, Shaoji2
	2016-12-01
发表期刊	CONSTRUCTIVE APPROXIMATION
ISSN	0176-4276
卷号	44 期号:3 页码:313-326
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.
关键词	Difference Wiman-Valiron estimates Finite order meromorphic functions Linear difference equations
DOI	10.1007/s00365-016-9324-8
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000386607500001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23910
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.