| 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
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| 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). |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2023.06.004 |
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