On Uniqueness of Two Meromorphic Functions Sharing A Small Function

Year 2019, Volume: 7 Issue: 2, 252 - 263, 15.10.2019

Molla Basir Ahamed

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 [6] and Harina - Anand [13] not only by sharing small function instead of fixed point but also reducing the lower bound of $ n $. There are some miscalculation in the proof of a result of Harina-Anand [13]. 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.

Keywords

meromorphic function , uniqueness theorem , small function , differential polynomials

References

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