Meromorphic functions that share four or three small functions with their difference operators

Abstract In this paper, we prove that non-constant meromorphic functions of finite order and their difference operators are identical, if they share four small functions “IM”, or share two small functions and ∞ CM. Our results show that a conjecture posed by Chen–Yi in 2013 is still valid for shared...

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Main Authors:	Huifang Liu, Zhiqiang Mao
Format:	Article
Language:	English
Published:	SpringerOpen 2019-05-01
Series:	Advances in Difference Equations
Subjects:	Meromorphic function Small function Difference operator Uniqueness
Online Access:	http://link.springer.com/article/10.1186/s13662-019-2116-2

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spelling	doaj-1bf2ecc9bb454a30b4428d4bbfee6b042020-11-25T03:07:27ZengSpringerOpenAdvances in Difference Equations1687-18472019-05-012019111110.1186/s13662-019-2116-2Meromorphic functions that share four or three small functions with their difference operatorsHuifang Liu0Zhiqiang Mao1College of Mathematics and Information Science, Jiangxi Normal UniversitySchool of Mathematics and Computer, Jiangxi Science and Technology Normal UniversityAbstract In this paper, we prove that non-constant meromorphic functions of finite order and their difference operators are identical, if they share four small functions “IM”, or share two small functions and ∞ CM. Our results show that a conjecture posed by Chen–Yi in 2013 is still valid for shared small functions, and improve some earlier results obtained by Li–Yi, Lü et al. We also study the uniqueness of a meromorphic function partially sharing three small functions with their difference operators.http://link.springer.com/article/10.1186/s13662-019-2116-2Meromorphic functionSmall functionDifference operatorUniqueness
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Huifang Liu Zhiqiang Mao
spellingShingle	Huifang Liu Zhiqiang Mao Meromorphic functions that share four or three small functions with their difference operators Advances in Difference Equations Meromorphic function Small function Difference operator Uniqueness
author_facet	Huifang Liu Zhiqiang Mao
author_sort	Huifang Liu
title	Meromorphic functions that share four or three small functions with their difference operators
title_short	Meromorphic functions that share four or three small functions with their difference operators
title_full	Meromorphic functions that share four or three small functions with their difference operators
title_fullStr	Meromorphic functions that share four or three small functions with their difference operators
title_full_unstemmed	Meromorphic functions that share four or three small functions with their difference operators
title_sort	meromorphic functions that share four or three small functions with their difference operators
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2019-05-01
description	Abstract In this paper, we prove that non-constant meromorphic functions of finite order and their difference operators are identical, if they share four small functions “IM”, or share two small functions and ∞ CM. Our results show that a conjecture posed by Chen–Yi in 2013 is still valid for shared small functions, and improve some earlier results obtained by Li–Yi, Lü et al. We also study the uniqueness of a meromorphic function partially sharing three small functions with their difference operators.
topic	Meromorphic function Small function Difference operator Uniqueness
url	http://link.springer.com/article/10.1186/s13662-019-2116-2
work_keys_str_mv	AT huifangliu meromorphicfunctionsthatsharefourorthreesmallfunctionswiththeirdifferenceoperators AT zhiqiangmao meromorphicfunctionsthatsharefourorthreesmallfunctionswiththeirdifferenceoperators
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Meromorphic functions that share four or three small functions with their difference operators

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