Normal families and omitted functions

作者:Pang, XC*; Yang, DG; Zalcman, L
来源:Indiana University Mathematics Journal, 2005, 54(1): 223-235.
DOI:10.1512/iumj.2005.54.2492

摘要

Let F be a family of meromorphic functions on the plane domain D, all of whose zeros and poles are multiple. Let h be a meromorphic function which does not vanish on D. If for each f is an element of F, f'(Z) not equal h(z) for z is an element of D, then F is normal on D.