Dealing with a question initiated by Liu [Meromorphic functions sharing set applications to difference equations, J. Math. Anal. Appl., 2009], we have investigated the situation when finite order entire function and its shift differential operator share two sets of small functions. Our result has improved extended results Chen-Chen [Entire their operators or shifts, Slovaca, 2013] Cui-Chen [The...

It is shown that a real-valued formal meromorphic function on a formal generic submanifold of finite Kohn-Bloom-Graham type is necessarily constant.

Abstract In this paper we study the growth properties of composite entire and meromorphic functions which improve some earlier results. AMS Subject Classification (2010): 30D35, 30D30.

In this paper we prove the existence of meromorphic solutions to a nonlinear differential difference equation that describe certain self-similar potentials for the Schroedinger operator.

In this paper, we discuss the problem of meromorphic functions sharing one value and obtain two theorems which improve a result of C.C.Yang and X.H.Hua.