本文研究有关Picard例外值和微分多项式有关的亚纯函数族的正规性,将陈玮和王琼等人的一些结论推广到微分多项式,得到了两个新的定理。This paper studies on Picard exceptional value and differential polynomial related normality ...本文研究有关Picard例外值和微分多项式有关的亚纯函数族的正规性,将陈玮和王琼等人的一些结论推广到微分多项式,得到了两个新的定理。This paper studies on Picard exceptional value and differential polynomial related normality of meromorphic function family, some conclusion of Chen Wei and Wang Qiong are extended to differential polynomials, two new theorems are obtained.展开更多
In order to find closed form solutions of nonintegrable nonlinear ordinary differential equations,numerous tricks have been proposed.The goal of this short review is to explain how a theorem of Eremenko on meromorphic...In order to find closed form solutions of nonintegrable nonlinear ordinary differential equations,numerous tricks have been proposed.The goal of this short review is to explain how a theorem of Eremenko on meromorphic solutions of some nonlinear ODEs together with some classical,19th-century results,can be turned into algorithms(thus avoiding ad hoc assumptions)which provide all(as opposed to some)solutions in a precise class.To illustrate these methods,we present some new such exact solutions,physically relevant.展开更多
文摘本文研究有关Picard例外值和微分多项式有关的亚纯函数族的正规性,将陈玮和王琼等人的一些结论推广到微分多项式,得到了两个新的定理。This paper studies on Picard exceptional value and differential polynomial related normality of meromorphic function family, some conclusion of Chen Wei and Wang Qiong are extended to differential polynomials, two new theorems are obtained.
基金partially supported by RGC(No.17307420)supported by NSFC(No.12471077)。
文摘In order to find closed form solutions of nonintegrable nonlinear ordinary differential equations,numerous tricks have been proposed.The goal of this short review is to explain how a theorem of Eremenko on meromorphic solutions of some nonlinear ODEs together with some classical,19th-century results,can be turned into algorithms(thus avoiding ad hoc assumptions)which provide all(as opposed to some)solutions in a precise class.To illustrate these methods,we present some new such exact solutions,physically relevant.
