SOME RESULTS ON VALUE DISTRIBUTION OF MEROMORPHIC FUNCTIONS CONCERNING DIFFERENCE POLYNOMIALS

Zhiying He; Jinyu Fan; Mingliang Fang

doi:10.11948/20230081

2023 Volume 13 Issue 5

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Zhiying He, Jinyu Fan, Mingliang Fang. SOME RESULTS ON VALUE DISTRIBUTION OF MEROMORPHIC FUNCTIONS CONCERNING DIFFERENCE POLYNOMIALS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2972-2986. doi: 10.11948/20230081

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Zhiying He, Jinyu Fan, Mingliang Fang. SOME RESULTS ON VALUE DISTRIBUTION OF MEROMORPHIC FUNCTIONS CONCERNING DIFFERENCE POLYNOMIALS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2972-2986. doi: 10.11948/20230081

SOME RESULTS ON VALUE DISTRIBUTION OF MEROMORPHIC FUNCTIONS CONCERNING DIFFERENCE POLYNOMIALS

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

Author Bio: Email: zhiyinggood@163.com(Z. Y. He); Email: fanjinyu1997@163.com(J. Y. Fan)
Corresponding author: Email: mlfang@hdu.edu.cn(M. L. Fang)
Fund Project: The authors were supported by National Natural Science Foundation of China (No. 12171127) and Natural Science Foundation of Zhejiang Province (No. LY21A010012)

Abstract

Abstract

In this paper, we study value distribution of meromorphic functions concerning difference polynomials and solve an open problem posed by Zheng and Chen [J. Math. Anal. Appl. 397 (2013)]. By using different methods, we improve and extend some results due to Zheng and Chen [J. Math. Anal. Appl. 397 (2013)], Zhang and Huang [Chinese Ann. Math. Ser. A 40 (2019)].
- Meromorphic function /
- Borel exceptional value /
- hyper-order /
- difference
MSC: 30D35

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References

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