Original Article
Kyungpook Mathematical Journal 2011; 51(1): 43-58
Published online March 23, 2011
Copyright © Kyungpook Mathematical Journal.
Uniqueness of Certain Non-Linear Differential Polynomials Sharing $1$-Points
Abhijit Banerjee
Department of Mathematics, West Bengal State University, Barasat, North 24 Prgs., West Bengal, India
Received: March 23, 2011; Revised: March 23, 2011; Accepted: March 23, 2011
Using the notion of weighted sharing of values we study the uniqueness of meromorphic functions when certain non-linear differential polynomials share the same $1$-points. Though the main concern of the paper is to improve a result of Fang [5] but as a consequence of the main result we improve and supplement some former results of Lahiri-Sarkar [14], Fang-Fang[6] et. al.
Keywords: Meromorphic function, derivative, non-linear differential polynomials, weighted sharing