Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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UNIQUENESS OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS AND CERTAIN DIFFERENTIAL POLYNOMIALS

  • H.R. JAYARAMA (Department of Mathematics, School of Engineering, Presidency University) ;
  • S.H. NAVEENKUMAR (Department of Mathematics, School of Engineering, Presidency University) ;
  • S. RAJESHWARI (Department of Mathematics, Bangalore Institute of Technology) ;
  • C.N. CHAITHRA (Department of Mathematics, School of Engineering, Presidency University)
  • Received : 2022.09.10
  • Accepted : 2023.02.28
  • Published : 2023.07.30
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Abstract

In this paper, we explore the uniqueness property between the transcendental meromorphic functions and differential polynomial. With the notion of weighted sharing, we generalised the many previous results on uniqueness property. Here we discussed the uniqueness of [P(f)(αfm + β)s](k) - η(z) and [P(g)(αgm + β)s](k) - η(z). Meanwhile, we generalised the result of Harina P. waghamore and Rajeshwari S[1].

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Acknowledgement

The authors wish to express their sincere thanks to the reviewers for the valuable suggestions.

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