Let f be a meromorphic function in C. If the order of f is greater than 2,has finitely many zeros and f takes a non-zero finite value finitely times, and then ?is unbounded.
In this paper we derive the fundamental inequality of the theorem of meromorphic functions. It extends some results of Yi Hong-xun et al. As one of its application, we then study the value distribution of f^（k）f^n-c...In this paper we derive the fundamental inequality of the theorem of meromorphic functions. It extends some results of Yi Hong-xun et al. As one of its application, we then study the value distribution of f^（k）f^n-c（z）.展开更多
Using Nevanlinna theory of the value distribution of meromorphic functions,we discuss some properties of the transcendental meromorphic solutions of second-order algebraic differential equations,and generalize some re...Using Nevanlinna theory of the value distribution of meromorphic functions,we discuss some properties of the transcendental meromorphic solutions of second-order algebraic differential equations,and generalize some results of some authors.展开更多
运用Nevanlinna的亚纯函数理论方法,研究了超越亚纯函数的值分布理论,获得了如下的结论:设f为超越亚纯函数,c为f的不恒等于0的的小函数,则当n≥3时,fnf′-c有无穷多个零点;若附加条件f只有有限多个级≤2的零点,则对一切正整数n,fnf′-c...运用Nevanlinna的亚纯函数理论方法,研究了超越亚纯函数的值分布理论,获得了如下的结论:设f为超越亚纯函数,c为f的不恒等于0的的小函数,则当n≥3时,fnf′-c有无穷多个零点;若附加条件f只有有限多个级≤2的零点,则对一切正整数n,fnf′-c都有无穷多个零点.因而对Chiang Y M的问题作出了部分回答.展开更多
文摘Let f be a meromorphic function in C. If the order of f is greater than 2,has finitely many zeros and f takes a non-zero finite value finitely times, and then ?is unbounded.
基金The NSF (06C417) of Hunan Provincethe QNF (04QN10) of Hunan AgricultureUniversity
文摘In this paper we derive the fundamental inequality of the theorem of meromorphic functions. It extends some results of Yi Hong-xun et al. As one of its application, we then study the value distribution of f^（k）f^n-c（z）.
基金Supported by the National Natural Science Foundation of China (Grant No.10471065)the Natural Science Foundation of Guangdong Province (Grant No.04010474)
文摘Using Nevanlinna theory of the value distribution of meromorphic functions,we discuss some properties of the transcendental meromorphic solutions of second-order algebraic differential equations,and generalize some results of some authors.
文摘运用Nevanlinna的亚纯函数理论方法,研究了超越亚纯函数的值分布理论,获得了如下的结论:设f为超越亚纯函数,c为f的不恒等于0的的小函数,则当n≥3时,fnf′-c有无穷多个零点;若附加条件f只有有限多个级≤2的零点,则对一切正整数n,fnf′-c都有无穷多个零点.因而对Chiang Y M的问题作出了部分回答.
