Uniqueness of meromorphic functions sharing two sets with least possible cardinalities

Arindam Sarkar

doi:10.2478/awutm-2019-0019

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Uniqueness of meromorphic functions sharing two sets with least possible cardinalities

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 57 (2019): Issue 2 (December 2019)

By: Arindam Sarkar

Open Access

|Dec 2020

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.

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