Open AccessThe fundamental theorems of algebroid functions on annuli
Author(s) -
Yang Tan,
Qingcai Zhang
Publication year - 2015
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1401-50
Subject(s) - mathematics , fundamental theorem , pure mathematics , extension (predicate logic) , uniqueness , nevanlinna theory , fundamental theorem of calculus , mathematical analysis , fixed point theorem , computer science , meromorphic function , programming language
An extension of Nevanlinna value distribution theory for algebroid functions on annuli is proposed. The main characteristics are one-parameter and possess the same properties as in the classical case. Analogs of the Cartan theorem, the first fundamental theorem, the second fundamental theorem, deficient values, and the uniqueness of algebroid functions on annuli are proved.
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