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An Integral Equation Method for Conformal Mapping of Doubly Connected Regions

Ali H. M. Murid, and Mohd Rashidi M. Razali, (1999) An Integral Equation Method for Conformal Mapping of Doubly Connected Regions. Matematika, 15 (2). pp. 79-93. ISSN 01278274

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Official URL: http://www.fs.utm.my/matematika/images/stories/matematika/199915201.pdf

Affiliations

Universiti Teknologi Malaysia, Dept. of Mathematics["lib/metafield:join_corp_creators" not defined]Universiti Teknologi Malaysia, Dept. of Mathematics

Abstract

Based on a boundary relationship satisfied by a function which is analytic in a doubly connected region bounded by two closed Jordan curves, an integral equation is constructed. Some applications considered are the conformal mappings from a doubly connected region bounded by two closed smooth Jordan curves onto: (a) an annulus, and (b) a unit disk. Among the kernels involved are the Kerzman-Stein and the Neumann kernels.

Item Type:Journal
Additional Information:This note was added by the search_and_modify.pl script.
Keywords:Conformal mapping, Integral equation, Doubly connected region, Kerzman-Stein kernel, Neumann kernel
Subjects:Q Science, Computer Science
ID Code:5526

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