| 系数具有相同级的复线性微-差分方程亚纯解的增长性 |
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| 引用本文： | 吴顺周,郑秀敏.系数具有相同级的复线性微-差分方程亚纯解的增长性[J].数学研究及应用,2014,34(6):683-695. |
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| 作者姓名： | 吴顺周 郑秀敏 |
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| 作者单位： | 江西师范大学数学与信息科学学院, 江西 南昌 330022;江西师范大学数学与信息科学学院, 江西 南昌 330022 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11301233; 11171119),江西省自然科学基金(Grant No.20132BAB211002),江西省教育厅青年科学基金(Grant No.GJJ14271). |
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| 摘 要： | The main purpose of this paper is to study the growth of meromorphic solutions of complex linear differential-difference equations L(z, f) =n∑i=0m∑j=0Aij(z)f(j)(z + ci) = 0 or F(z)with entire or meromorphic coefficients, and ci, i = 0,..., n being distinct complex numbers,where there is only one dominant coefficient.
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| 关 键 词： | 线性微-差分方程 亚纯解 级 下级. |
| 收稿时间： | 2013/12/19 0:00:00 |
| 修稿时间： | 2014/4/17 0:00:00 |
Growth of Meromorphic Solutions of Complex Linear Differential-Difference Equations with Coefficients Having the Same Order |
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| Shunzhou WU and Xiumin ZHENG.Growth of Meromorphic Solutions of Complex Linear Differential-Difference Equations with Coefficients Having the Same Order[J].Journal of Mathematical Research with Applications,2014,34(6):683-695. |
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| Authors: | Shunzhou WU and Xiumin ZHENG |
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| Institution: | Institute of Mathematics and Information Science, Jiangxi Normal University, Jiangxi 330022, P. R. China;Institute of Mathematics and Information Science, Jiangxi Normal University, Jiangxi 330022, P. R. China |
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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. |
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| Keywords: | linear differential-difference equation meromorphic solution order lower order |
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