| 有限级超越整函数的(微-)差分多项式的零点分布 |
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| 引用本文： | 陈海莹,郑秀敏.有限级超越整函数的(微-)差分多项式的零点分布[J].数学年刊A辑(中文版),2020,41(4):371-382. |
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| 作者姓名： | 陈海莹 郑秀敏 |
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| 作者单位： | 江西师范大学数学与统计学院, 南昌 330022. |
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| 基金项目： | 国家自然科学基金(No.11761035)和江西省自然科学基金(No.20171BAB201002) |
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| 摘 要： | 作者研究了有限级超越整函数的差分多项式和微-差分多项式的零点分布,在一定条件下得到了这些多项式的零点收敛指数的精确估计.所得结果可视为Hayman关于Picard例外值的经典结果的(微-)差分模拟.
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| 关 键 词： | 亚纯函数 差分多项式 微-差分多项式 零点 |
| 收稿时间： | 2019/5/30 0:00:00 |
| 修稿时间： | 2020/8/15 0:00:00 |
Zeros Distribution of (Differential-)Difference Polynomials of Transcendental Entire Functions of Finite Order |
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| CHEN Haiying,ZHENG Xiumin.Zeros Distribution of (Differential-)Difference Polynomials of Transcendental Entire Functions of Finite Order[J].Chinese Annals of Mathematics,2020,41(4):371-382. |
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| Authors: | CHEN Haiying ZHENG Xiumin |
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| Institution: | School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022, China.; Corresponding author. School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022, China. |
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| Abstract: | This paper is devoted to the piston problem of the Euler equations for isentropic modified Van der Waals gas. The modified Van der Waals gas state equation agrees with the reality, which was constructed by Maxwell using area equal principle. Then the system transforms mixed type into hyperbolic type. By the characteristic analysis methods, the forward wave solutions of the Euler equations for the modified Van der Waals gas are given. Thereby further, the motions of gas caused by pushing and pulling the piston are shown. |
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| Keywords: | Meromorphic function Difference polynomial DifferentialDifference polynomial Zero |
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