Muhammad IlyasSP19-RMT-023LHR TP 7409Dr. Kashif Nazar2026-03-162021https://repository.cuilahore.edu.pk/handle/123456789/2840The purposeofthisstudyistoexamineandanalyzetheboundaryintegral equations ofanAhlforsmapformultiplyconnectedregions.Alsotoderive some newboundaryintegralequationsrelatedtoanAhlforsmapwhich maymorebesuitableforfindingtheAhlforsmapanditsunknownzeros. The Nystr¨om methodwiththetrapezoidalrulewillbeusedtoparametrize and discretizetheseintegralequationsintosystemsofequations.enDr. Kashif NazarSp19Department of MathematicsMathematicsIntegral EquationsAhlfors MapIntegral Equations Method for Ahlfors Map and its ZerosThesis