## Tbilisi Mathematical Journal

### Weighted sharing and uniqueness for the shifts of meromorphic functions

#### 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].

#### Note

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).

#### Article information

Source
Tbilisi Math. J., Volume 12, Issue 2 (2019), 17-27.

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

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1561082564

Digital Object Identifier
doi:10.32513/tbilisi/1561082564

Mathematical Reviews number (MathSciNet)
MR3973256

#### Citation

Meng, Chao; Liu, Gang. Weighted sharing and uniqueness for the shifts of meromorphic functions. Tbilisi Math. J. 12 (2019), no. 2, 17--27. doi:10.32513/tbilisi/1561082564. https://projecteuclid.org/euclid.tbilisi/1561082564

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