<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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].</p>
</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].

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

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"A power of a meromorphic function sharing a set with its higher order derivative"}

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...

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

Published Online: Nov 18, 2022

Page range: 104 - 114

Received: Nov 29, 2021

DOI: https://doi.org/10.2478/ausm-2022-0007

Keywords
meromorphic functions, WCM sharing, Nevanlinna theory

© 2022 Himadri Karmakar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Nov 18, 2022

Page range: 104 - 114

Received: Nov 29, 2021

DOI: https://doi.org/10.2478/ausm-2022-0007

Keywordsmeromorphic functions, WCM sharing, Nevanlinna theory

© 2022 Himadri Karmakar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
meromorphic functions, WCM sharing, Nevanlinna theory