Open Access
June, 2019 Distributions of Branch Points of Some Algebroid Functions
Yingying Huo, Yinying Kong, Min Wu
Taiwanese J. Math. 23(3): 575-588 (June, 2019). DOI: 10.11650/tjm/180903

Abstract

In this paper, we investigate the distribution of branch points of some algebroid functions with infinitely many branch points. A sufficient condition that algebroid function has infinitely many branch points is given. By the Ahlfors' theory of covering surfaces, we also obtain the relationship between the Borel cluster directions of branch points and the Borel directions.

Citation

Download Citation

Yingying Huo. Yinying Kong. Min Wu. "Distributions of Branch Points of Some Algebroid Functions." Taiwanese J. Math. 23 (3) 575 - 588, June, 2019. https://doi.org/10.11650/tjm/180903

Information

Received: 28 March 2018; Revised: 20 June 2018; Accepted: 9 September 2018; Published: June, 2019
First available in Project Euclid: 26 September 2018

zbMATH: 07068564
MathSciNet: MR3952241
Digital Object Identifier: 10.11650/tjm/180903

Subjects:
Primary: 30D30

Keywords: Borel direction , branch points , general algebroid functions

Rights: Copyright © 2019 The Mathematical Society of the Republic of China

Vol.23 • No. 3 • June, 2019
Back to Top