Results on Logarithmic Borel Exceptional Values of Meromorphic Functions with Their Difference Operators

被引：0
作者：
H. Yu
X.-M. Li
机构：
[1] Dalian Maritime University,School of Science
[2] University of Eastern Finland,Department of Physics and Mathematics
[3] Ocean University of China,Department of Mathematics
来源：
Analysis Mathematica | 2022年 / 48卷
关键词：
-difference operator; logarithmic Borel exceptional value; logarithmic order; meromorphic function; shift difference operator; primary 30D35; secondary 39A05;
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学科分类号：
摘要：
In this paper, we study the existence questions of logarithmic Borel exceptional values for meromorphic functions of finite logarithmic order concerning their q-difference or shift difference operators in the complex plane. We also obtain a precise asymptotic relation between N(r, f(z)) and N(r, f(qz)) (N(r, f(z + c)), respectively) in terms of finite logarithmic exponent of convergence of poles of f in the complex plane, where q and c are fixed finite non-zero constants.
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页码：895 / 909
页数：14
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