| 一类微差分方程整函数解的性质 |
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| 引用本文： | 吴丽镐. 一类微差分方程整函数解的性质[J]. 江西师范大学学报(自然科学版), 2018, 0(6): 582-586. DOI: 10.16357/j.cnki.issn1000-5862.2018.06.05 |
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| 作者姓名： | 吴丽镐 |
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| 作者单位： | 华南理工大学广州学院计算机工程学院,广东 广州 510800 |
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| 摘 要： | 利用值分布理论对一类微差分方程f(z)n+P(f)=β1eα1z+β2eα2z+β3eα3z的整函数解的存在性、增长性和零点收敛指数进行了研究,其中αi,βi(i=1,2,3)为复常数,P(f)为f(z)的1阶微差分多项式,并推广了已有的一些结论.
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| 关 键 词： | 微差分方程 整函数 收敛指数 |
The Properties of Entire Solutions of a Certain Type of Differential-Difference Equations |
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| WU Lihao. The Properties of Entire Solutions of a Certain Type of Differential-Difference Equations[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2018, 0(6): 582-586. DOI: 10.16357/j.cnki.issn1000-5862.2018.06.05 |
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| Authors: | WU Lihao |
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| Affiliation: | School of Computer Engineering,Guangzhou College of South China University of Technology,Guangzhou Guangdong 510800,China |
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| Abstract: | By using the value distribution theory,the existence,growth and exponent of convergence of zeros of entire solutions of a certain type of differential-difference equations of the form f(z)n+P(f)=β1eα1z+β2eα2z+β3eα3z are considered,where αi,βi(i=1,2,3) are constants.P(f) denotes an algebraic differential-difference polynomial in f(z) of degree one.And some known results obtained most recently are improved. |
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| Keywords: | differential-difference equations entire functions exponent of convergence |
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