Uniqueness of meromorphic functions sharing two or three sets
type: Item
instance of: scholarly article
title: Uniqueness of meromorphic functions sharing two or three sets
zbMATH Open document ID: 1161.30017
author: Abhijit Banerjee
author: Sonali Mukherjee
published in: Hokkaido Mathematical Journal
publication date: 2008-10-20T00:00:00Z
review text: The research on uniqueness of entire and meromorphic functions sharing certain sets of values was triggered by a famous question of \textit{Gross}. \textit{Prof. Hong Xun Yi} first attempted to answer \textit{Gross's} question. Afterwards a series of papers were published on the topic. The main trend of research is to reduce the cardinality of the shared sets. Recently another trend came up: the investigations on the possibility of relaxing the notion of sharing sets. In the paper, the authors use the notion of weighted sharing of sets to prove several results on Gross's question under weaker hypotheses on set sharing.
reviewed by: Indrajit Lahiri
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 5354270
zbMATH Keywords: meromorphic function
zbMATH Keywords: uniqueness
zbMATH Keywords: weighted sharing
zbMATH Keywords: shared set.
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1253539533
OpenAlex ID: W1964416945
DOI: 10.14492/HOKMJ/1253539533
description: scientific article; zbMATH DE number 5354270