A uniqueness result related to certain non-linear differential polynomials sharing the same 1-points

Abstract

Abstract The purpose of the paper is to study the uniqueness of meromorphic function when certain non-linear differential polynomials share the same 1-points. As a consequence of the main result we improve and supplement the following recent result: [LAHIRI, I.—PAL, R.: Nonlinear differential polynomials sharing 1-points, Bull. Korean Math. Soc. 43 (2006), 161–168].