Bulletin of the
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Bull. Korean Math. Soc. 2022; 59(5): 1247-1253

Online first article September 15, 2022      Printed September 30, 2022

https://doi.org/10.4134/BKMS.b210700

Copyright © The Korean Mathematical Society.

Unique range sets without Fujimoto's hypothesis

Bikash Chakraborty

Ramakrishna Mission Vivekananda Centenary College

Abstract

This paper studies the uniqueness of two non-constant meromorphic functions when they share a finite set. Moreover, we will give an existence of unique range sets for meromorphic functions that are the zero sets of some polynomials that do not necessarily satisfy the Fujimoto's hypothesis ([6]).

Keywords: Unique range set, uniqueness polynomial, Fujimoto

MSC numbers: Primary 30D30, 30D20, 30D35

Supported by: The research work is supported by the Department of Higher Education, Science and Technology & Biotechnology, Govt. of West Bengal under the sanction order no. 1303 (sanc.)/STBT-11012(26)/17/2021-ST SEC dated 14/03/2022.

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