ScholarLens Back to search
2004•Journal of University of South ChinaRequires access

The Normality of Meromorphic Functions Concerning Sharing Set

Zhang Wen-hua

Open publisher page 2 citations

Abstract

In this paper,we draw a connection between normal family and sharing set.We proved:Let F be a family of meromorphic functions on the unit disc Δ,and let a,b be distinct non-zero finite values.S=｛a,b｝,if the zeros of f are multiple,and _f(S)=_f′(S) for every f∈F,then F is normal on Δ.We also proved corresponding results on normal function.

About this research paper

What this paper is about

In this paper,we draw a connection between normal family and sharing set.We proved:Let F be a family of meromorphic functions on the unit disc Δ,and let a,b be distinct non-zero finite values.S=｛a,b｝,if the zeros of f are multiple,and _f(S)=_f′(S) for every f∈F,then F is normal on Δ.We also proved corresponding results on normal function.

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper,we draw a connection between normal family and sharing set.We proved:Let F be a family of meromorphic functions on the unit disc Δ,and let a,b be distinct non-zero finite values.S=｛a,b｝,if the zeros of f are multiple,and _f(S)=_f′(S) for every f∈F,then F is normal on Δ.We also proved corresponding results on normal function.

Key concepts: Meromorphic function, Normality, Normal family, Set (abstract data type), Connection (principal bundle), Mathematics, Zero (linguistics), Function (biology)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The Normality of Meromorphic Functions Concerning Sharing Set — Research Paper | ScholarLens