Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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UNIQUENESS OF MEROMORPHIC FUNCTION WITH ITS LINEAR DIFFERENTIAL POLYNOMIAL SHARING TWO VALUES

  • Received : 2020.07.01
  • Accepted : 2021.04.15
  • Published : 2021.07.31
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Abstract

The paper has been devoted to study the uniqueness problem of meromorphic function and its linear differential polynomial sharing two values. We have pointed out gaps in one of the theorem due to [1]. We have further extended the corrected form of Chen-Li-Li's result which in turn extend the an earlier result of [8] in a large extent. In fact, we have subtly use the notion of weighted sharing of values in this particular section of literature which was unexplored till now. A handful number of examples have been provided by us pertinent to different discussions. Specially we have given an example to show that one condition in a theorem can not be dropped.

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Acknowledgement

The authors wish to thank the referee for his/her valuable suggestions towards the improvement of this paper. The second author is thankful to Council of Scientific and Industrial Research (India) for their financial support under File No: 09/106(0191)/2019-EMR-I.

References

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