In this paper, the Bloch principle is discussed and a normal criterion is asserted. Let (?) be a family of meromorphic functions on a domain D, a≠0,∞; b≠∞, n≥4. If for any f ∈(?) there existsf’ - afn≠b, then (...In this paper, the Bloch principle is discussed and a normal criterion is asserted. Let (?) be a family of meromorphic functions on a domain D, a≠0,∞; b≠∞, n≥4. If for any f ∈(?) there existsf’ - afn≠b, then (?) is normal in D.展开更多
This paper proves an inequality of the following form: where f(z) is a transcendental meromorphic function, F(z) denotes adifferential polynomial of f(z) of a certain general form, φ(z)0 means ameromorphic function s...This paper proves an inequality of the following form: where f(z) is a transcendental meromorphic function, F(z) denotes adifferential polynomial of f(z) of a certain general form, φ(z)0 means ameromorphic function such that T(r, φ)= S(r, f) and K signifies a positive constant.展开更多
文摘In this paper, the Bloch principle is discussed and a normal criterion is asserted. Let (?) be a family of meromorphic functions on a domain D, a≠0,∞; b≠∞, n≥4. If for any f ∈(?) there existsf’ - afn≠b, then (?) is normal in D.
基金Project supported by the National Natural Science Foundation of China.
文摘This paper proves an inequality of the following form: where f(z) is a transcendental meromorphic function, F(z) denotes adifferential polynomial of f(z) of a certain general form, φ(z)0 means ameromorphic function such that T(r, φ)= S(r, f) and K signifies a positive constant.
