| Growth of Meromorphic Solutions of Complex Linear Differential-Difference Equations with Coefficients Having the Same Order |
| Received:December 19, 2013 Revised:April 17, 2014 |
| Key Words:
linear differential-difference equation meromorphic solution order lower order.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11301233; 11171119), the Natural Science Foundation of Jiangxi Province (Grant No.20132BAB211002) and the Youth Science Foundation of Education Bureau of Jiangxi Province (Grant No.GJJ14271). |
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| Abstract: |
| The main purpose of this paper is to study the growth of meromorphic solutions of complex linear differential-difference equations $$L(z,f)=\sum\limits_{i=0}^{n}\sum\limits_{j=0}^{m}A_{ij}(z)f^{(j)}(z+c_{i})=0~~\mbox{or}~~F(z)$$ with entire or meromorphic coefficients, and $c_{i}, i=0,\ldots,n$ being distinct complex numbers, where there is only one dominant coefficient. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.06.006 |
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