Uniqueness of an entire function sharing fixed points with its derivatives

MD Majibur Rahaman, Imrul Kaish

Abstract


The uniqueness problems of an entire functions that share a nonzero finite value have been studied and many results on this topic have been obtained. In this paper we prove a uniqueness theorem for an entire function, which share a linear polynomial, in particular fixed points, with its higher order derivatives.


Keywords


Uniqueness, Entire functions, Fixed points, Sharing, Derivatives.

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References


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DOI: http://dx.doi.org/10.23755/rm.v38i0.520

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.