Conformal slit maps in applied mathematics
Crowdy, Darren
ANZIAM Journal, Tome 52 (2012), / Harvested from Australian Mathematical Society
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Conformal slit maps play a fundamental theoretical role in analytic function theory and potential theory. A lesser-known fact is that they also have a key role to play in applied mathematics. This review article discusses several canonical conformal slit maps for multiply connected domains and gives explicit formulae for them in terms of a classical special function known as the Schottky–Klein prime function associated with a circular preimage domain. It is shown, by a series of examples, that these slit mapping functions can be used as basic building blocks to construct more complicated functions relevant to a variety of applied mathematical problems. doi:10.1017/S1446181112000119

Publié le : 2012-01-01
DOI : https://doi.org/10.21914/anziamj.v53i0.5782 
@article{5782,
     title = {Conformal slit maps in applied mathematics},
     journal = {ANZIAM Journal},
     volume = {52},
     year = {2012},
     doi = {10.21914/anziamj.v53i0.5782},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/5782}
}

Crowdy, Darren. Conformal slit maps in applied mathematics. ANZIAM Journal, Tome 52 (2012) . doi : 10.21914/anziamj.v53i0.5782. http://gdmltest.u-ga.fr/item/5782/