Uniqueness of meromorphic functions sharing two sets with least possible cardinalities | Zendy

Arindam Sarkar | Zendy

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Uniqueness of meromorphic functions sharing two sets with least possible cardinalities

Author(s) -

Arindam Sarkar

Publication year - 2019

Publication title -

annals of west university of timisoara - mathematics and computer science

Language(s) - English

Resource type - Journals

eISSN - 1841-3307

pISSN - 1841-3293

DOI - 10.2478/awutm-2019-0019

Subject(s) - meromorphic function , cardinality (data modeling) , uniqueness , fang , mathematics , set (abstract data type) , finite set , pure mathematics , combinatorics , discrete mathematics , computer science , mathematical analysis , data mining , ecology , biology , programming language

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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