Normal families of holomorphic functions and multiple values

Let F be a family of holomorphic functions defined in D subset of C, and let k, m, n, p be four positive integers with k+p+1/m + p+1/n < 1. Let psi(not equivalent to 0, infinity) be a meromorphic function in D and which has zeros only of multiplicities at most p. Suppose that, for every function f is an element of F, (i) f has zeros only of multiplicities at least m; (ii) all zeros of f((k)) - psi(z) have multiplicities at least n; (iii) all poles of psi have multiplicities at most k, and (iv) psi(z) and f(z) have no common zeros, then F is normal in D.