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Research Article | Open Access

The uniqueness of meromorphic function shared values with meromorphic solutions of a class of q-difference equations

Zhuo Wang1( ), Weichuan Lin2
School of Mathematics, Renmin University of China, Beijing 100872, China
Fujian Preschool Education College, Fuzhou 350007, China
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Abstract

We first investigate the meromorphic solutions of a class of homogeneous second-order q-difference equations and the uniqueness problem for a meromorphic function with three shared values; then we discuss the uniqueness problem for the meromorphic solutions of a class of nonhomogeneous q-difference equations and a meromorphic function with four shared values.

Keywords

difference equationsmeromorphic functionshared valuesuniqueness
CLC number: 30D35, 30D30, 39A10

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AIMS Mathematics
Volume 9 Issue 3,
March 2024
Pages 5501-5522
DOI: 10.3934/math.2024267

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Cite this article:
Wang Z, Lin W. The uniqueness of meromorphic function shared values with meromorphic solutions of a class of q-difference equations. AIMS Mathematics, 2024, 9(3): 5501-5522. https://doi.org/10.3934/math.2024267

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Received: 21 November 2023
Revised: 14 January 2024
Accepted: 23 January 2024
Published: 15 March 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)