Uniqueness of two transcendental meromorphic functions whose differential polynomials share the value 1

Authors

  • Dibyendu Banerjee Visva-Bharati University
  • Ishita Ghosh

Abstract

In 2018, Tao and Wang [Uniqueness of meromorphic functions whose differential polynomials share one value, Journal of Applied Mathematics and Physics, 6,(2018),2264-2272] proved a uniqueness theorem of meromorphic functions whose, some nonlinear differential shares 1 IM with powers of the meromorphic functions. In this paper we improve their results by introducing another transcendental meromorphic function. We prove uniqueness theorem of differential polynomials of two transcendental meromorphic functions whose, some nonlinear differential shares 1 IM with powers of the meromorphic functions, where the degrees of the powers are equal to those of the nonlinear differential polynomials.

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Author Biography

Dibyendu Banerjee, Visva-Bharati University

Department of Mathematics,Associate Professor

Published

2025-06-30

How to Cite

Banerjee, D., & Ghosh, I. (2025). Uniqueness of two transcendental meromorphic functions whose differential polynomials share the value 1. Journal of Informatics and Mathematical Sciences, 17(2). Retrieved from https://www.rgnpublications.com/journals/index.php/jims/article/view/3183

Issue

Section

Research Article