On the operations of algebroid functions
type: Item
instance of: scholarly article
title: On the operations of algebroid functions
zbMATH Open document ID: 1224.30168
DOI: 10.1016/S0252-9602(10)60042-2
author: Daochun Sun
author: Zongsheng Gao
published in: Acta Mathematica Scientia. Series B. (English Edition)
publication date: 2011-02-05T00:00:00Z
review text: In this article, the authors define two types of operations, i.e., the addition and multiplication, of algebroid functions and prove that their sums and products are still algebroid functions. As an application, they investigate the operational properties of algebroid functions and prove two uniqueness theorems for algebroid functions which extend C.C. Yang's uniqueness theorems [\textit{C.-C. Yang} and \textit{H.-X. Yi}, Uniqueness theory of meromorphic functions. Dordrecht: Kluwer Academic Publishers. Beijing: Science Press (2003; Zbl 1070.30011)] of meromorphic functions to algebroid functions.
Mathematics Subject Classification ID: 30D45
Mathematics Subject Classification ID: 32C20
zbMATH DE Number: 5847166
zbMATH Keywords: algebroid function
zbMATH Keywords: addition
zbMATH Keywords: multiplication
zbMATH Keywords: analytic image
zbMATH Keywords: uniqueness theorem
reviewed by: Yinying Kong
MaRDI profile type: Publication
full work available at URL: s0252-9602(10)60042-2
OpenAlex ID: W1989307834
description: scientific article; zbMATH DE number 5847166