A power of a meromorphic function sharing a set with its higher order derivative
und | 18. Nov. 2022
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Online veröffentlicht: 18. Nov. 2022
Seitenbereich: 104 - 114
Eingereicht: 29. Nov. 2021
DOI: https://doi.org/10.2478/ausm-2022-0007
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© 2022 Himadri Karmakar et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In this paper, we deduce the form of a nonconstant meromorphic function f when some power of f shares certain set counting multiplicities in the weak sense with the k-th derivative of the power. The results of this paper generalize the results due to Lahiri and Zeng [Afr. Mat. 27 (2016), 941-947].