A Boundary Integral Equation Related to the Ahlfors Map

Authors

  • Nur Hazwani Aqilah Abdul Wahid Universiti Teknologi Malaysia
  • Ali Hassan Mohamed Murid
  • Mukhiddin I. Muminov

DOI:

https://doi.org/10.11113/mjfas.v17n2.1911

Keywords:

Ahlfors map, Multiply connected region, Kerzman-Stein kernel, Neumann kernel

Abstract

The Ahlfors map is a mapping function that maps a multiply connected region onto a unit disk. This paper presents a new boundary integral equation related to the Ahlfors map of a bounded multiply connected region. The boundary integral equation is constructed from a boundary relationship satisfied by the Ahlfors map of a multiply connected region.

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Published

29-04-2021