摘要
In this paper, we shall show that for any entire function f, the function of the form f(m)(f(n) - 1)f' has no non-zero finite Picard value for all positive integers m, n is an element of N possibly except for the special case m = n = 1. Furthermore, we shall also show that for any two non-constant meromorphic functions f and g, if f(m) (f(n)-1)f' and g(m)(g(n)-1)g' share the value I weakly, then f equivalent to g provided that, in and it satisfy some conditions In particular, if f and g are entire, then the restrictions on m and n could be greatly reduced.