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一类微差分方程亚纯解的性质 被引量:1

Properties of meromorphic solutions of a certain type of differential-difference equations
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摘要 研究一类微差分方程f(z)n+a(z)f(z+c)+b(z)f′(z)+d(z)=h(z),其中a(z)、b(z)、d(z)为多项式或有理式,得到了这类方程亚纯解的存在性,增长性和零点收敛指数的一些结果。 A certain type of differential-difference equations of the form f(z)n+a(z)f(z+c)+b(z)f′(z)+d(z)=h(z)was studied,where a(z),b(z),d(z)are polynomials or rational.Some results on the existence,growth and value distribution of meromorphic solutions of these equations were obtained.
出处 《南昌大学学报(理科版)》 CAS 北大核心 2017年第4期316-318,323,共4页 Journal of Nanchang University(Natural Science)
基金 国家自然科学基金项目(11761035) 广东省普通高校青年创新人才项目(2015KQNCX230)
关键词 微差分方程 亚纯函数收敛指数 differential-difference equations meromorphic functions exponent of convergence
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