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arXiv · 1906.12046

On uniqueness of two meromorphic functions sharing a small function

Molla Basir Ahamed
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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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Molla Basir Ahamed. 2019-06-28. On uniqueness of two meromorphic functions sharing a small function. https://arxiv.org/abs/1906.12046

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