Radial and circular slit maps of unbounded multiply connected circle domains
DeLillo, Thomas K. Driscoll, T. A. Elcrat, Alan R. Pfaltzgraff, J. A.
DeLillo, Thomas K.
Driscoll, T. A.
Elcrat, Alan R.
Pfaltzgraff, J. A.
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2008-07-08
Type
Article
Genre
Keywords
Conformal maps,Multiply connected domains,Canonical domains
Subjects (LCSH)
Citation
DeLillo, T. K., T. A. Driscoll, et al. (2008). "Radial and circular slit maps of unbounded multiply connected circle domains." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science 464(2095): 1719-1737.
Abstract
Infinite product formulae for conformally mapping an unbounded multiply connected
circle domain to an unbounded canonical radial or circular slit domain, or to domains
with both radial and circular slit boundary components are derived and implemented
numerically and graphically. The formulae are generated by analytic continuation with
the reflection principle. Convergence of the infinite products is proved for domains with
sufficiently well-separated boundary components. Some recent progress in the numerical
implementation of infinite product mapping formulae is presented.
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Publisher
The Royal Society
Journal
Book Title
Series
Proceedings of the Royal Society A;v.464 no.2095
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DOI
ISSN
1364-5021
1471-2946
1471-2946