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

M. B. Ahamed

doi:10.30970/ms.53.2.147-158

M. B. Ahamed Department of Mathematics, Kalipada Ghosh Tarai Mahavidyalya West Bengal, India

DOI: https://doi.org/10.30970/ms.53.2.147-158

Keywords: meromorphic function, uniqueness, shared sets, Gross question, weighted sharing

Abstract

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.

Author Biography

M. B. Ahamed, Department of Mathematics, Kalipada Ghosh Tarai Mahavidyalya West Bengal, India

Department of Mathematics, Kalipada Ghosh Tarai Mahavidyalya
West Bengal, India

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