A New Criterion Of Meromorphic Function Concerning Differential Polynomial

Our paper mainly study the connection between the differential polynomial in / and shared values, and then we obtain a new criterion: Let F be a family of holomorphic functions on the plain domain D, all of whose zeros have multiplicity at least κ + 1. Let a₁(z), a₂(z), …, a_κ(z) be analytic in D and they are not identical to zero. We write F(z) = f^κ)(z) + a₁(z)f^κ-1(z) + …+ a_κ(z)f(z) as a differential polynomial in f(z), and then if for any f (?) T, f(z) = a (?) F(z) = b, where a ≠ 0, b≠ 0 are two constants, then F is normal on D.