UNICITY OF MEROMORPHIC FUNCTIONS CONCERNING DERIVATIVES-DIFFERENCE AND SMALL FUNCTIONS

Ge Wang; Zhiying He; Mingliang Fang

doi:10.11948/20230454

2024 Volume 14 Issue 5

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Ge Wang, Zhiying He, Mingliang Fang. UNICITY OF MEROMORPHIC FUNCTIONS CONCERNING DERIVATIVES-DIFFERENCE AND SMALL FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2845-2861. doi: 10.11948/20230454

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Ge Wang, Zhiying He, Mingliang Fang. UNICITY OF MEROMORPHIC FUNCTIONS CONCERNING DERIVATIVES-DIFFERENCE AND SMALL FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2845-2861. doi: 10.11948/20230454

UNICITY OF MEROMORPHIC FUNCTIONS CONCERNING DERIVATIVES-DIFFERENCE AND SMALL FUNCTIONS

1.
Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, China

Author Bio: Email: gwang@hdu.edu.cn(G. Wang); Email: zhiyinggood@163.com(Z. He)
Corresponding author: Email: mlfang@hdu.edu.cn(M. Fang)
Fund Project: The authors were supported by the National Natural Science Foundation of China (Nos. 12171127, 12371074)

Abstract

Abstract

In this paper, we study unicity of meromorphic functions concerning derivatives-differences and small functions and improve the results due to Chen and Zhang [Ann. Math. Ser.A 42 (2021)] and Liu and Chen [J. Korean Soc. Math. Educ. Ser. B: Pure Apple. Math. 30 (2023)]. Meanwhile, we give negative answer to the problems posed by Chen and Xu [Comput. Methods Funct. Theory 22 (2022)], Banerjee and Maity[Bull. Korean Math. Soc. 58 (2021)].
- Meromorphic functions /
- unicity /
- difference /
- small functions
MSC: 30D35

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References

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