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Circular Slit Disk with Infinite Radius

Published online by Cambridge University Press:  22 January 2016

Kótaro Oikawa  and
Nobuyuki Suita
Kótaro Oikawa
Affiliation:
College of General Education, University of Tokyo and Department of Mathematics, Tokyo Institute of Technology
Nobuyuki Suita
Affiliation:
College of General Education, University of Tokyo and Department of Mathematics, Tokyo Institute of Technology
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Let W be a plane domain such that ∞∉W. Given a point a∉W and a boundary component C of W, consider the family consisting of all the functions f satisfying the following conditions: f is regular and univalent in W, f(a) = 0, f′(a) = l, and the image f(C) of C under f is the outer boundary component of the image domain f(W). Set

and

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 30 , August 1967 , pp. 57 - 70
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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