Computational Methods and Function Theory 6 (2006), No. 2, 301--315
Copyright Heldermann Verlag 2006
Thomas K. DeLillo
delillo@math.twsu.edu , Department of Mathematics and Statistics, Wichita State University, Wichita, KS 67260-0033, U.S.A.
Tobin A. Driscoll
driscoll@math.udel.edu , Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, U.S.A.
Alan R. Elcrat
elcrat@math.twsu.edu , Department of Mathematics and Statistics, Wichita State University, Wichita, KS 67260-0033, U.S.A.
John A. Pfaltzgraff
jap@math.unc.edu , Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599, U.S.A.
We have recently derived a Schwarz-Christoffel formula for the conformal mapping of the exterior of a finite number of disks to the exterior of a set of polygonal curves [9]. In this work we show how to formulate a set of equations for determining the parameters of such a map. A number of examples are computed, including exteriors of multiple slits. We also recall the derivation of the mapping formulae and give a new formula for the doubly connected case.
Keywords: Schwarz-Christoffel transformation, conformal mapping.
MSC 2000: Primary 30C30; Secondary 65E05.
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