Uniqueness of a meromorphic function sharing two values CM with it's differential polynomial of difference operator

Authors

  • C.N. Chaithra Department of Mathematics, Sapthagiri NPS University, Bengaluru-560 057,
  • H.R. Jayarama Department of Mathematics, Sapthagiri NPS University, Bengaluru-560 057,
  • S.H. Naveenkumar Department of Mathematics, Presidency University, Bengaluru-560 064,

Abstract

In this paper, we investigate the uniqueness of meromorphic function by  considering the differential polynomial of difference operator $ \big[f(z)^{n}P(f)L(\Delta_{\eta}f)\big]^{(k)} $ with two shared values $ e_{1} $ and  $ e_{2} $ counting multiplicities. We extends the result of Jiang and Chen \cite{14}. Moreover, we give an example to illustrate the validity of our main result.

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Published

2024-11-30

Issue

Vol. 31 No. 4 (2024): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2024 C.N. Chaithra, H.R. Jayarama , S.H. Naveenkumar

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Uniqueness of a meromorphic function sharing two values CM with it’s differential polynomial of difference operator. (2024). Nonlinear Studies, 31(4), 1211-1220. https://nonlinearstudies.com/index.php/nonlinear/article/view/3771