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WEIGHTED SHARING AND UNIQUENESS OF ENTIRE OR MEROMORPHIC FUNCTIONS

Bhoosnurmath, Subhas S.;Pujari, Veena L.

  • Received : 2012.02.18
  • Published : 2015.01.31

Abstract

In this paper, we study the uniqueness problems of entire or meromorphic functions concerning differential polynomials that share one value with multiplicity using weighted sharing method. We prove two main theorems which generalize and improve the results of Fang and Fang [2], Dyavanal [1] and others and also solve the open problem posed by Dyavanal. This method yields some new results.

Keywords

uniqueness;meromorphic function;differential polynomial;weighted sharing

References

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Acknowledgement

Supported by : DST