On uniqueness of two meromorphic functions when sharing three sets with finite weights | Zendy

Molla Basir Ahamed | Zendy

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On uniqueness of two meromorphic functions when sharing three sets with finite weights

Author(s) -

Molla Basir Ahamed

Publication year - 2020

Publication title -

matematychni studii

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.482

H-Index - 8

eISSN - 2411-0620

pISSN - 1027-4634

DOI - 10.30970/ms.53.2.147-158

Subject(s) - meromorphic function , uniqueness , set (abstract data type) , mathematics , pure mathematics , finite set , mathematical economics , computer science , mathematical analysis , programming language

With the help of the notion of weighted sharing of sets, in this paper we have investigated on the question posed by Yi [17] regarding the uniqueness of meromorphic functions concerning three set sharing and obtained a result which significantly improved the recent results of Banerjee - Ahamed [3], Banerjee - Mukherjee [5] and Banerjee - Majumder [4] by removing the extra supposition as well as relaxing the nature of sharing. We have exhibited some examples to show the sharpness of the cardinalities of the set S 1 and the set S 2 considered in 1.1 and also to show that one can not obtained the same conclusions of the main results by considering any arbitrary sets.

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