Commun. Korean Math. Soc. 2024; 39(1): 105-116
Online first article January 23, 2024 Printed January 31, 2024
https://doi.org/10.4134/CKMS.c210304
Copyright © The Korean Mathematical Society.
Imrul Kaish, Rana Mondal
Aliah University; Aliah University
In this paper, we prove a uniqueness theorem of non-constant meromorphic functions of hyper-order less than $1$ sharing two values CM and two partial shared values IM with their shifts. Our result in this paper improves and extends the corresponding results from Chen-Lin \cite{CL2016}, Charak-Korhonen-Kumar \cite{CKK2016}, Heittokangas-Korhonen-Laine-Rieppo-Zhang \cite{HKLRZ2009} and Li-Yi \cite{LY2016}. Some examples are provided to show that some assumptions of the main result of the paper are necessary.
Keywords: Meromorphic function, Nevanlinna theory, uniqueness, partially sharing values
MSC numbers: Primary 30D35
Supported by: This work was financially supported by UGC India (F.16-6(DEC.2016)/2017(NET)).
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