UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING A VALUE OR SMALL FUNCTION

The paper concerns interesting problems related to the field of Complex Analysis, in particular Nevanlinna theory of meromorphic functions. The author have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a value or small function. The results of this paper are generalizations of some problems studied in [BOUSSAF, K.-ESCASSUT, A. OJEDA, J.: Complex meromorphic functions f' P' (f), g' P' (g) sharing a small function, Indag. Math. (N.S.) 24 (2013), 15-41] and in [DYAVANAL, R. S.: Uniqueness and value-sharing of differential polynomials of meromorphic functions, J. Math. Anal. Appl. 374 (2011), 335-345]. (C) 2016 Mathematical Institute Slovak Academy of Sciences