Computational Methods and Function Theory 6 (2006), No. 1, 59--76
Copyright Heldermann Verlag 2006
Darren Crowdy
d.crowdy@imperial.ac.uk , Department of Mathematics, Imperial College London, 180 Queen's Gate, London, SW7 2AZ, U.K.
Jonathan Marshall
jonathan.marshall@imperial.ac.uk , Department of Mathematics, Imperial College London, 180 Queen's Gate, London, SW7 2AZ, U.K.
Explicit analytical formulae for the conformal mappings from the canonical class of multiply connected circular domains to canonical classes of multiply connected slit domains are constructed. All the formulae can be expressed in terms of the Schottky-Klein prime function associated with the multiply connected circular domains.
Keywords: Conformal map, multiply connected, Green's functions.
MSC 2000: 30C20, 31A15.
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