Meromorphic Functions Sharing Pairs of Small Functions

Jilong Zhang; Lianzhong Yang

doi:10.1515/ms-2015-0009

Meromorphic Functions Sharing Pairs of Small Functions

Jilong Zhang
, Lianzhong Yang

School of Mathematical Sciences

Shandong University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, we investigate the relations between two meromorphic functions that share some pairs of small functions.In particular, we show that two meromorphic functions that share six pairs of small functions IM - must be linked by quasi-Möbius transformation.We also give some properties of two meromorphic functions sharing five pairs of values or small functions.

Original language	English
Pages (from-to)	93-102
Number of pages	10
Journal	Mathematica Slovaca
Volume	65
Issue number	1
DOIs	https://doi.org/10.1515/ms-2015-0009
State	Published - 1 Feb 2015

Keywords

meromorphic function
pairs of values
small function

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title = "Meromorphic Functions Sharing Pairs of Small Functions",

abstract = "In this paper, we investigate the relations between two meromorphic functions that share some pairs of small functions.In particular, we show that two meromorphic functions that share six pairs of small functions IM - must be linked by quasi-M{\"o}bius transformation.We also give some properties of two meromorphic functions sharing five pairs of values or small functions.",

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AB - In this paper, we investigate the relations between two meromorphic functions that share some pairs of small functions.In particular, we show that two meromorphic functions that share six pairs of small functions IM - must be linked by quasi-Möbius transformation.We also give some properties of two meromorphic functions sharing five pairs of values or small functions.

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KW - small function

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Meromorphic Functions Sharing Pairs of Small Functions

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Keywords

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