On the uniqueness of meromorphic functions that share three sets. (English) Zbl 1212.30112

Banerjee, Abhijit

Math. Bohem. 134, No. 3, 319-336 (2009).

Summary: With the aid of the notion of weighted sharing and pseudo sharing of sets we prove three uniqueness results on meromorphic functions sharing three sets, all of which will improve a result of W.-C.Lin and H.-X.Yi [Complex Variables, Theory Appl.48, No. 4, 315–327 (2003; Zbl 1038.30017)].

MSC:

30D35

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Keywords:

meromorphic functions; uniqueness; weighted sharing; shared set

Citations:

Zbl 1038.30017