A Note on a Question of I. Laine and C. C. Yang
Received:November 27, 2022  Revised:February 26, 2023
Key Words: linear differential equation   linear difference equation   order   accumulation ray   zero sequence  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11661043) and the Foundation of Education Department of Jiangxi Province (Grant No.GJJ2200320).
Author NameAffiliation
Lipeng XIAO School of Mathematics and Statistics, Jiangxi Normal University, Jiangxi 330022, P. R. China 
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      The aim of this paper is to study the order of meromorphic solutions of linear difference equation $$A_n(z)f(z+n)+\cdots+A_1(z)f(z+1)+A_0(z)f(z)=0,$$ where the coefficients $A_j(z)~(j=0,\ldots,n)$ are entire functions. We obtain some results by giving some restrictions on coefficients of above equation with no dominating coefficient and partially answer a question of I. Laine and C. C. Yang.
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