Integral Equations Method for Ahlfors Map and its Zeros

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2021

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Library Information Services COMSATS University Islamabad Lahore Campus

Abstract

The purposeofthisstudyistoexamineandanalyzetheboundaryintegral equations ofanAhlforsmapformultiplyconnectedregions.Alsotoderive some newboundaryintegralequationsrelatedtoanAhlforsmapwhich maymorebesuitableforfindingtheAhlforsmapanditsunknownzeros. The Nystr¨om methodwiththetrapezoidalrulewillbeusedtoparametrize and discretizetheseintegralequationsintosystemsofequations.

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Dr. Kashif Nazar, Sp19, Department of Mathematics, Mathematics, Integral Equations, Ahlfors Map

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