Open Mathematics (May 2025)

Singular direction of meromorphic functions with finite logarithmic order

  • Hu Keqi,
  • Zhang Qingcai

DOI
https://doi.org/10.1515/math-2025-0149
Journal volume & issue
Vol. 23, no. 1
pp. 345 – 402

Abstract

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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.

Keywords