On the Nevanlinna theory for meromorphic functions on annuli. I. (English) Zbl 1066.30036

Khrystiyanyn, A. Ya.; Kondratyuk, A. A.

Mat. Stud. 23, No. 1, 19-30 (2005).

Summary: An extension of the Nevanlinna distribution theory for meromorphic functions on annuli is proposed. The main characteristics are one-parameter and possess the same properties as in the classical case. Analogues of the Jensen theorem and the first fundamental theorem for annuli are proved.

MSC:

30D35

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

Keywords:

Nevanlinna; meromorphic function; annuli; first fundamental theorem