Meromorphic functions sharing three values. (English) Zbl 0747.30022

Jank, Gerhard; Terglane, Norbert

Math. Pannonica 2, No. 2, 37-46 (1991).

A well known theorem of R. Nevanlinna states that there are at most two distinct meromorphic functions sharing three values CM (counting multiplicities). In the present paper the authors give extensions of Nevanlinna’s theorem dealing with functions that share values IM (ignoring multiplicities), or with the case that there are only few zeros and poles.

Reviewer: F.Gackstatter (Berlin)

MSC:

30D35

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

Keywords:

unicity theorems; value sharing; multiplicities