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On conformal mappings of domains of infinite connectivity

Published online by Cambridge University Press:  24 October 2008

L. J. M. Brown
L. J. M. Brown
Affiliation:
Girton CollegeCambridge
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Extract

1. In the theory of conformal mapping, there are many problems associated with domains of infinite connectivity which have not yet been fully explored. We consider, in this paper, some of these problems in relation to domains in the closed complex plane. In the following all domains are assumed to be plane domains and all mappings to be (1, 1) and conformal in the domains in which they are defined.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 1 , January 1955 , pp. 56 - 64
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

REFERENCES

(1)Courant, R.Dirichlet's principle, conformed mapping, and minimal surfaces. Pure and Applied Mathematics, vol. III (New York, 1950).Google Scholar
(2)Grötzsch, H.Ber. säcks. Ges. (Akad.) Wiss. 81 (1929), 51–86.Google Scholar
(3)Grötzsch, H.Ber. säcks. Ges. (Akad.) Wiss. 83 (1931), 238–253.Google Scholar
(4)Grötzsch, H.Ber. säcks. Ges. (Akad.) Wiss. 87 (1935), 319–324.Google Scholar
(5)Meschkowski, H.Math. Ann. 123 (1951), 392–405.CrossRefGoogle Scholar
(6)Meschkowski, H.Math. Ann. 124 (1952), 178–181.CrossRefGoogle Scholar
(7)Pólya, G. and Szegö, G.Aufgaben und Lehrsätze aus der Analysis, vol. II (Berlin, 1925).Google Scholar
(8)Rengel, E.Schr. Inst. angew. Math. Univ. Berl. 1 (1932).Google Scholar