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Curvature and Radius of Curvature for Functions with Bounded Boundary Rotation

Published online by Cambridge University Press:  20 November 2018

J. W. Noonan
J. W. Noonan*
Affiliation:
College of the Holy Cross, Worcester, Massachusetts
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For k ≧ 2 denote by Vk the class of functions f regular in and having the representation

(1.1)

where μ is a real-valued function of bounded variation on [0, 2π] with

(1.2)

Vk is the class of functions with boundary rotation at most kπ.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 5 , October 1973 , pp. 1015 - 1023
Copyright
Copyright © Canadian Mathematical Society 1973

References

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