On the Uniqueness Results and Value Distribution of Meromorphic Mappings

Rahman Ullah, Xiao-Min Li, Faiz Faizullah, Hong-Xun Yi and Riaz Ahmad Khan
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Rahman Ullah: School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China
Xiao-Min Li: School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China
Faiz Faizullah: Department of BS & H, College of E & ME, National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan
Hong-Xun Yi: Department of Mathematics, Shandong University, Jinan 250100, China
Riaz Ahmad Khan: SMME, National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan

Mathematics, 2017, vol. 5, issue 3, 1-18

Abstract: This research concentrates on the analysis of meromorphic mappings. We derived several important results for value distribution of specific difference polynomials of meromorphic mappings, which generalize the work of Laine and Yang. In addition, we proved uniqueness theorems of meromorphic mappings. The difference polynomials of these functions have the same fixed points or share a nonzero value. This extends the research work of Qi, Yang and Liu, where they used the finite ordered meromorphic mappings.

Keywords: meromorphic mappings; value distribution; difference polynomials; uniqueness results (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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