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Proof of a conformal mapping relationship

Published online by Cambridge University Press:  17 April 2009

A. Brown
A. Brown
Affiliation:
Department of Applied Mathematics, Faculty of Arts, Australian National University, Canberra, ACT.
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A proof is given of a result deduced from numerical work on the conformal mapping of the region exterior to a quadrilateral possessing an axis of symmetry. It is shown that the result follows from known relationships between hypergeometric functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 10 , Issue 1 , February 1974 , pp. 91 - 94
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Erdélyi, Arthur, Magnus, Wilhelm, Oberhettinger, Fritz, Tricomi, Francesco G. (edited by), Higher trascendental functions, Volume 1. Based, in part, on notes left by Harry Bateman (McGraw-Hill, New York, Toronto, London, 1953).Google Scholar
[2]Hughes, O.F., “A useful relationship in the conformal mapping of quadrilaterals”, Bull. Austral. Math. Soc. 9 (1973), 99–104.CrossRefGoogle Scholar
[3]Jeffreys, Harold and Jeffreys, Bertha Swirles, Methods of mathematical physics, 2nd ed. (Cambridge University Press, Cambridge, 1950).Google Scholar