Singular direction of meromorphic functions with finite logarithmic order

Abstract In this article, we construct filling disks for meromorphic functions of order zero and that way we prove the existence of Borel directions of these functions. In the latter part of this article, we demonstrate the existence of filling disks using the Borel direction of meromorphic functions.

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Publication Details

Journal
Open Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1515/math-2025-0149
Primary Topic
Meromorphic and Entire Functions
Type
article
Field-Weighted Citation Impact
0.00
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article

Singular direction of meromorphic functions with finite logarithmic order

Qing-cai Zhang, Kunhong Hu
Open Mathematics
Meromorphic and Entire Functions
article

Singular direction of meromorphic functions with finite logarithmic order

Qing-cai Zhang, Kunhong Hu
article en

Abstract

Abstract In this article, we construct filling disks for meromorphic functions of order zero and that way we prove the existence of Borel directions of these functions. In the latter part of this article, we demonstrate the existence of filling disks using the Borel direction of meromorphic functions.

Open MathematicsVol. 23(1)
Renmin University of China (CN)
Openalex Percentile: Top 82%
Meromorphic and Entire Functions
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Singular direction of meromorphic functions with finite logarithmic order — Qing-cai Zhang, Kunhong Hu · Open Mathematics (2025) | TGRS Research Map | TGRS