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

Zhuo Wang; Weichuan Lin; Zhuo Wang; Weichuan Lin

doi:10.3934/math.2024267

AIMS Mathematics

2024, Volume 9, Issue 3: 5501-5522. doi: 10.3934/math.2024267

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

Zhuo Wang ^{1
,
,},
Weichuan Lin ²

1.
School of Mathematics, Renmin University of China, Beijing 100872, China
2.
Fujian Preschool Education College, Fuzhou 350007, China

Received: 21 November 2023 Revised: 14 January 2024 Accepted: 23 January 2024 Published: 29 January 2024
MSC : 30D35, 30D30, 39A10

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.
- difference equations,
- meromorphic function,
- shared values,
- uniqueness
Citation: Zhuo Wang, Weichuan Lin. The uniqueness of meromorphic function shared values with meromorphic solutions of a class of q-difference equations[J]. AIMS Mathematics, 2024, 9(3): 5501-5522. doi: 10.3934/math.2024267

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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.

References

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