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Mathematics 2017, 5(3), 42; https://doi.org/10.3390/math5030042

On the Uniqueness Results and Value Distribution of Meromorphic Mappings

1
School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China
2
Department of BS & H, College of E & ME, National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan
3
Department of Mathematics, Shandong University, Jinan 250100, China
4
SMME, National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan
*
Author to whom correspondence should be addressed.
Academic Editor: Lei Ni
Received: 9 June 2017 / Revised: 8 August 2017 / Accepted: 10 August 2017 / Published: 17 August 2017
Full-Text   |   PDF [768 KB, uploaded 17 August 2017]

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. View Full-Text
Keywords: meromorphic mappings; value distribution; difference polynomials; uniqueness results meromorphic mappings; value distribution; difference polynomials; uniqueness results
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Ullah, R.; Li, X.-M.; Faizullah, F.; Yi, H.-X.; Khan, R.A. On the Uniqueness Results and Value Distribution of Meromorphic Mappings. Mathematics 2017, 5, 42.

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