June 2022 Borel directions and the uniqueness of algebroid functions
Yang Tan, Yinying Kong
Rocky Mountain J. Math. 52(3): 1063-1072 (June 2022). DOI: 10.1216/rmj.2022.52.1063

Abstract

In this paper, using Nevanlinna theory we discuss the relations between the Borel directions and the uniqueness of algebroid functions. We get several uniqueness theorems of algebroid functions in angular domain which contains the Borel directions. These results extend those for meromorphic functions obtained by some scholars.

Citation

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Yang Tan. Yinying Kong. "Borel directions and the uniqueness of algebroid functions." Rocky Mountain J. Math. 52 (3) 1063 - 1072, June 2022. https://doi.org/10.1216/rmj.2022.52.1063

Information

Received: 6 August 2020; Revised: 1 August 2021; Accepted: 20 August 2021; Published: June 2022
First available in Project Euclid: 16 June 2022

MathSciNet: MR4441114
zbMATH: 1494.30058
Digital Object Identifier: 10.1216/rmj.2022.52.1063

Subjects:
Primary: 30D30
Secondary: 30D35

Keywords: Algebroid function , angular domain , order , uniqueness

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

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Vol.52 • No. 3 • June 2022
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