Normal families and shared values

作者：Pang XC^*; Zalcman L

来源：Bulletin of the London Mathematical Society, 2000, 32(3): 325-331.

DOI：10.1112/S002460939900644X

For f a meromorphic function on the plane domain D and a is an element of C, let (E) over bar(f)(a) = {z is an element of D:f(z) = a}. Let F be a family of meromorphic functions on D, all of whose zeros are of multiplicity at least k. If there exist b not equal 0 and h > 0 such that for every f is an element of F, (E) over bar(f)(0) = (E) over bar(f)(k)(b) and 0 < \f((k+1))(z)\ less than or equal to h whenever z is an element of (E) over bar(f)(0), then F is a normal family on D. The case (E) over bar(f)(0) = empty set is a celebrated result of Gu [5].

• 出版日期2000-5
• 单位华东师范大学