A power of a meromorphic function sharing a set with its higher order derivative

Himadri Karmakar; Pulak Sahoo

doi:10.2478/ausm-2022-0007

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A power of a meromorphic function sharing a set with its higher order derivative

Acta Universitatis Sapientiae, Mathematica

Volume 14 (2022): Issue 1 (November 2022)

By: Himadri Karmakar and Pulak Sahoo

Open Access

|Nov 2022

Abstract

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].

References

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DOI: https://doi.org/10.2478/ausm-2022-0007 | Journal eISSN: 2066-7752

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Language: English

Page range: 104 - 114

Submitted on: Nov 29, 2021

Published on: Nov 18, 2022

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

meromorphic functions,

Related subjects:

© 2022 Himadri Karmakar, Pulak Sahoo, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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