Uniqueness of  meromorphic function with  $Q$-shift product difference polynomial sharing a small function IM

Authors

  • H. R. Jayarama Department of Mathematics, School of Engineering and Technology, Sapthagiri NPS University, Bangalore-560057, INDIA
  • S. H. Naveenkumar Department of Mathematics, School of Engineering, Presidency University, Bangalore-560064, INDIA
  • C. N. Chaithra Department of Mathematics, School of Engineering and Technology, Sapthagiri NPS University, Bangalore-560057, INDIA.

Abstract

In this paper, we investigate the uniqueness of a meromorphic function $f(z)$ and its $q$-shift difference polynomial  with sharing a small function IM. Our two results improve and  generalize the recent results of  Dyavanal Renukadevi S and Mathai (Ukrainian Math. J. 71(7):1032--1042, 2019).  To further demonstrate the validity of our main result, we provide an example.

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Published

11/30/2024

Issue

Vol. 15 No. 4 (2024): Mathematics in Science, Engineering, and Aerospace (MESA)

Section

Articles