Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2018; 33(4): 1181-1203

Online first article July 11, 2018      Printed October 31, 2018

https://doi.org/10.4134/CKMS.c170360

Copyright © The Korean Mathematical Society.

Uniqueness of two differential polynomials of a meromorphic function sharing a set

Molla Basir Ahamed

Kalipada Ghosh Tarai Mahavidyalaya

Abstract

In this paper, we are mainly devoted to find out the general meromorphic solution of some specific type of differential equation. We have also answered an open question posed by Banerjee-Chakraborty \cite{Ban & Cha-2016} by extending their results in a large extent. We have provided an example showing that the conclusion of the results of Zhang-Yang \cite{Zha & Yan-2009} is not general true. Some examples have been exhibited to show that certain claims are true in our main result. Finally some questions have been posed for the future research in this direction.

Keywords: meromorphic function, differential polynomial, set sharing, uniqueness

MSC numbers: Primary 30D35