We establish several upper-bound estimates for the growth of meromorphic functions with radially distributed value. We also obtain a normality criterion for a class of meromorphic functions, where any two of whose dif...We establish several upper-bound estimates for the growth of meromorphic functions with radially distributed value. We also obtain a normality criterion for a class of meromorphic functions, where any two of whose differential polynomials share a non-zero value. Our theorems improve some previous results.展开更多
基金Acknowledgements This work was supported by the Visiting Scholar Program of Chern Institute of Mathematics at Nankai University when the first and third authors worked as visiting scholars. The authors wish to thank the anonymous referees for their very helpful comments and useful suggestions. This work was also supported by the National Natural Science Foundation of China （Grant No. 11271090）, the Tianyuan Youth Fund of the National Natural Science Foundation of China （Grant No. 11326083）, the Shanghai University Young Teacher Training Program （ZZSDJ12020）, the Innovation Program of Shanghai Municipal Education Commission （14YZ164）, the Natural Science Foundation of Guangdong Province （S2012010010121）, and the Projects （13XKJC01） from the Leading Academic Discipline Project of Shanghai Dianji University.
文摘We establish several upper-bound estimates for the growth of meromorphic functions with radially distributed value. We also obtain a normality criterion for a class of meromorphic functions, where any two of whose differential polynomials share a non-zero value. Our theorems improve some previous results.
