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Zbl 1101.30010
Crowdy, Darren; Marshall, Jonathan
Conformal mappings between canonical multiply connected domains. (English)
[J] Comput. Methods Funct. Theory 6, No. 1, 59-76 (2006). ISSN 1617-9447

The authors show that the modified Green's function of a multiply connected circular domain can be represented by the Schottky-Klein prime function associated with this domain. Using this result, explicit analytic formulae for the conformal mappings from circular domains to domains with parallel, radial or circular slits are constructed.
[Rudolf Wegmann (Garching)]
MSC 2000:
*30C20 Conformal mappings of special domains
31A15 Potentials, etc. (two-dimensional)

Keywords: conformal map; Schottky-Klein prime function; multiply connected domain

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