On Uniqueness of Two Meromorphic Functions Sharing A Small Function

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Konuralp Journal of Mathematics
Volume:7 Issue:2
On Uniqueness of Two Meromorphic Functions Sharing A Small Function

On Uniqueness of Two Meromorphic Functions Sharing A Small Function

Authors : Molla BASİR AHAMED

Pages : 252-263

View : 21 | Download : 10

Publication Date : 2019-10-15

Article Type : Research Paper

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

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