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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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/ |
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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/ |
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