Uniqueness of an entire function sharing fixed points with its derivatives

Authors

  • MD Majibur Rahaman Department of Mathematics and Statistics, Aliah University, Kolkata, West Ben- gal 700160, India.
  • Imrul Kaish Department of Mathematics and Statistics, Aliah University, Kolkata, West Ben- gal 700160, India.

DOI:

https://doi.org/10.23755/rm.v38i0.520

Keywords:

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

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.

References

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Wang. J.P and Yi. H.X: Entire functions that share one value CM with their derivatives, J. Math. Anal. Appl., 277 (2003), pp. 155 –163.

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Published

2020-06-30

Issue

Vol. 38 (2020)

Section

Volume 38-2020

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