April 2019 Weighted sharing and uniqueness for the shifts of meromorphic functions
Chao Meng, Gang Liu
Tbilisi Math. J. 12(2): 17-27 (April 2019). DOI: 10.32513/tbilisi/1561082564

Abstract

In this paper, we deal with the uniqueness problem for $q$-shifts of meromorphic functions. The results obtained in this paper are the $q$-shift analogues of theorems given by Yang and Zhang [Non-existence of meromorphic solution of a Fermat type functional equation, Aequationes Math. 76(2008), 140-150], Chen, Chen and Li [Uniqueness of difference operators of meromorphic functions, J. Ineq. Appl. 2012(2012), Art 48].

Funding Statement

This work was supported by The Research Project of Education Department of Liaoning Province (L201612) and The Startup Foundation for Doctors of Shenyang Aerospace University (No. 16YB14).

Citation

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Chao Meng. Gang Liu. "Weighted sharing and uniqueness for the shifts of meromorphic functions." Tbilisi Math. J. 12 (2) 17 - 27, April 2019. https://doi.org/10.32513/tbilisi/1561082564

Information

Received: 19 May 2018; Accepted: 25 February 2019; Published: April 2019
First available in Project Euclid: 21 June 2019

zbMATH: 07172309
MathSciNet: MR3973256
Digital Object Identifier: 10.32513/tbilisi/1561082564

Subjects:
Primary: 30D35
Secondary: 39A05 , 39B32

Keywords: $q$-shift , meromorphic function , uniqueness , Weighted Sharing

Rights: Copyright © 2019 Tbilisi Centre for Mathematical Sciences

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Vol.12 • No. 2 • April 2019
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