Uniqueness of meromorphic function with its $k$-th derivative sharing two small functions under different weights

Abhijit Banerjee; Arpita Kundu

doi:10.4134/CKMS.c220168

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Commun. Korean Math. Soc. 2023; 38(2): 525-545

Online first article April 20, 2023 Printed April 30, 2023

https://doi.org/10.4134/CKMS.c220168

Uniqueness of meromorphic function with its $k$-th derivative sharing two small functions under different weights

Abhijit Banerjee, Arpita Kundu

University of Kalyani; University of Kalyani

Abstract

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Abstract

In the paper, we have exhaustively studied about the uniqueness of meromorphic function sharing two small functions with its $k$-th derivative as these types of results have never been studied earlier. We have obtained a series of results which will improve and extend some recent results of Banerjee-Maity \cite{Ban-Maity_Contemp.}.

Keywords: Meromorphic function, uniqueness, shared sets, small function

MSC numbers: 30D35