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Some integral equations related to the Ahlfors map for multiply connected regions

The Ahlfors map of an n–connected region is a branched n–to–one map from the region onto the unit disk. In this paper we derived new boundary integral equations for Ahlfors map of bounded multiply connected regions. One of them has the potential to be useful in computing the zeros of Ahlfors map. Th...

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Main Authors: Nazar, Kashif, Mohamed Murid, Ali Hassan, Sangawi, Ali W. K.
Format: Conference or Workshop Item
Published: 2015
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/60846/
https://sites.google.com/site/iaceuum/
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spelling my.utm.608462017-08-10T06:34:01Z http://eprints.utm.my/id/eprint/60846/ Some integral equations related to the Ahlfors map for multiply connected regions Nazar, Kashif Mohamed Murid, Ali Hassan Sangawi, Ali W. K. QA Mathematics The Ahlfors map of an n–connected region is a branched n–to–one map from the region onto the unit disk. In this paper we derived new boundary integral equations for Ahlfors map of bounded multiply connected regions. One of them has the potential to be useful in computing the zeros of Ahlfors map. The kernels of these boundary integral equations are the generalized Neumann kernel, adjoint Neumann kernel, Neumann-type kernel and Kerzman-Stein kernel. These integral equations are constructed from a non-homogeneous boundary relationship satisfied by an analytic function on multiply connected regions. 2015 Conference or Workshop Item PeerReviewed Nazar, Kashif and Mohamed Murid, Ali Hassan and Sangawi, Ali W. K. (2015) Some integral equations related to the Ahlfors map for multiply connected regions. In: The 2nd Innovation and Analytics Conference & Exhibition 2015, 29 Sept - 1 Oct, 2015, Kedah, Malaysia. https://sites.google.com/site/iaceuum/
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Nazar, Kashif
Mohamed Murid, Ali Hassan
Sangawi, Ali W. K.
Some integral equations related to the Ahlfors map for multiply connected regions
description The Ahlfors map of an n–connected region is a branched n–to–one map from the region onto the unit disk. In this paper we derived new boundary integral equations for Ahlfors map of bounded multiply connected regions. One of them has the potential to be useful in computing the zeros of Ahlfors map. The kernels of these boundary integral equations are the generalized Neumann kernel, adjoint Neumann kernel, Neumann-type kernel and Kerzman-Stein kernel. These integral equations are constructed from a non-homogeneous boundary relationship satisfied by an analytic function on multiply connected regions.
format Conference or Workshop Item
author Nazar, Kashif
Mohamed Murid, Ali Hassan
Sangawi, Ali W. K.
author_facet Nazar, Kashif
Mohamed Murid, Ali Hassan
Sangawi, Ali W. K.
author_sort Nazar, Kashif
title Some integral equations related to the Ahlfors map for multiply connected regions
title_short Some integral equations related to the Ahlfors map for multiply connected regions
title_full Some integral equations related to the Ahlfors map for multiply connected regions
title_fullStr Some integral equations related to the Ahlfors map for multiply connected regions
title_full_unstemmed Some integral equations related to the Ahlfors map for multiply connected regions
title_sort some integral equations related to the ahlfors map for multiply connected regions
publishDate 2015
url http://eprints.utm.my/id/eprint/60846/
https://sites.google.com/site/iaceuum/
_version_ 1643654994823479296
score 13.211869

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