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Boundary Behavior and Quasi-Normality of Finitely Valent Holomorphic Functions

Published online by Cambridge University Press:  20 November 2018

David C. Haddad
David C. Haddad*
Affiliation:
West Virginia College of Graduate Studies, Institute, West Virginia
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A function denned in a domain D is n-valent in D if f(z) — w0 has at most n zeros in D for each complex number w0. Let denote the class of nonconstant, holomorphic functions f in the unit disc that are n-valent in each component of the set . MacLane's class is the class of nonconstant, holomorphic functions in the unit disc that have asymptotic values at a dense subset of |z| = 1.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 4 , August 1973 , pp. 812 - 819
Copyright
Copyright © Canadian Mathematical Society 1973

References

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