MEROMORPHIC FUNCTIONS SHARING FOUR VALUES WITH THEIR DIFFERENCE OPERATORS OR SHIFTS

We prove a uniqueness theorem of nonconstant meromorphic functions sharing three distinct values IM and a fourth value CM with their shifts, and prove a uniqueness theorem of nonconstant entire functions sharing two distinct small functions IM with their shifts, which respectively improve Corollary...

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2016, 53(4), , pp.1213-1235
Main Authors: Li, Xiao-Min, Yi, Hong-Xun
Format: Article
Language:English
Subjects:
수학
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Summary:We prove a uniqueness theorem of nonconstant meromorphic functions sharing three distinct values IM and a fourth value CM with their shifts, and prove a uniqueness theorem of nonconstant entire functions sharing two distinct small functions IM with their shifts, which respectively improve Corollary 3.3(a) and Corollary 2.2(a) from \cite{12}, where the meromorphic functions and the entire functions are of hyper order less than $1.$ An example is provided to show that the above results are the best possible. We also prove two uniqueness theorems of nonconstant meromorphic functions sharing four distinct values with their difference operators. KCI Citation Count: 13
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b150609