1. bookVolume 57 (2019): Issue 2 (December 2019)
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22 Nov 2012
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access type Open Access

Uniqueness of meromorphic functions sharing two sets with least possible cardinalities

Published Online: 21 Dec 2020
Page range: 112 - 130
Journal Details
License
Format
Journal
First Published
22 Nov 2012
Publication timeframe
2 times per year
Languages
English
Abstract

Let f and g be two nonconstant meromorphic functions sharing two finite sets, namely S ⊂ ℂ and {∞}. We prove two uniqueness theorems under weaker conditions on ramification indices, reducing the cardinality of the shared set S and weakening the nature of sharing of the set {∞} which improve results of Fang-Lahiri [7], Lahiri [17], Banerjee -Majumder-Mukherjee [5] and others.

Keywords

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