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Covering Theorems for Classes of Univalent Functions

Published online by Cambridge University Press:  20 November 2018

Dov Aharonov
Affiliation:
University of Maryland, College Park, Maryland
W. E. Kirwan
Affiliation:
University of Maryland, College Park, Maryland
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Let denote the class of functions f(z) = z + that are analytic and univalent in and will denote the collection of f that map U onto a domain that is respectively starlike with respect to the origin and convex.

In [4, p. 85] Hayman used Steiner symmetrization to solve a problem, a special case of which is the following.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1973

References

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