Honam Mathematical Journal (호남수학학술지)

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UNIQUENESS OF A MEROMORPHIC FUNCTION WITH DIFFERENCE POLYNOMIAL OF DIFFERENCE OPERATOR SHARING TWO VALUES CM

  • H. R. Jayarama (Department of Mathematics, School of Engineering, Presidency University) ;
  • H. Harish (Department of Mathematics, Sri Mahaveera First Grade College) ;
  • S. H. Naveenkumar (Department of Mathematics, School of Engineering, Presidency University) ;
  • C. N. Chaithra (Department of Mathematics, School of Engineering, Presidency University)
  • Received : 2023.10.07
  • Accepted : 2023.12.21
  • Published : 2024.06.25
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Abstract

In this paper, we investigate the uniqueness of a meromorphic function f(z) and its difference polynomial of difference operator with two sharing values counting multiplicities. Our two results improve and generalize the recent results of Barki Mahesh, Dyavanal Renukadevi S and Bhoosnurmath Subhas S [4] and for the case q ≥ 2, this allows for a highly unique generalization. To further demonstrate the validity of our main result, we provide an example.

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References

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