Meromorphic functions sharing two small functions with its derivative

In this paper, we find all the forms of meromorphic functions f (z) that share the value 0 CM∗, and share b(z) IM∗ with g(z) = a1(z)f (z) + a2(z)f (z). And a1(z), a2(z) and b(z) (a2(z), b(z) ≡ 0) be small functions with respect to f (z). As an application, we show that some of nonlinear differential equations have no transcendental meromorphic solution. © 2005 Elsevier Inc. All rights reserved