On uniqueness of two meromorphic functions sharing a small function

2019/06/28 by Ahamed, Molla Basir
#30D35 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1906.12046

Abstract

In this paper, we have investigated the uniqueness problems of entire and meromorphic functions concerning differential polynomials sharing a small function. Our results radically extended and improved the results of Bhoosnurmath-Pujari and Harina - Anand not only by sharing small function instead of fixed point but also reducing the lower bound of n . The authors Harina-Anand made plenty of mistakes in their paper. We have corrected all of them in a more convenient way. At last some open questions have been posed for further study in this direction.

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