Radically distributed value and normal families of meromorphic functions

Abstract

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.

Keywords

Meromorphic function / Nevanlinna theory / normal family / angular characteristic function / radially distributed value

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Higher Education Press and Springer-Verlag Berlin Heidelberg