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A Boundary Integral Equation Related to the Ahlfors Map

Nur Hazwani Aqilah Abdul WahidUniversiti Teknologi MalaysiaAli H. M. MuridDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia;M. I. MuminovMathematical Faculty, Samarkand State University, 140104, Samarkand, Uzbekistan
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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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