Nonlinear differential polynomials sharing a small function

Abhijit Banerjee and Sonali Mukherjee

Address: Department of Mathematics, Kalyani Government Engineering College West Bengal 741235, India


Abstract: Dealing with a question of Lahiri [6] we study the uniqueness problem of meromorphic functions concerning two nonlinear differential polynomials sharing a small function. Our results will not only improve and supplement the results of Lin-Yi [16], Lahiri Sarkar [12] but also improve and supplement a very recent result of the first author [1].

AMSclassification: Primary: 30D35.

Keywords: meromorphic function, uniqueness, nonlinear differential polynomials, small function, weakly weighted sharing