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Continua Which are Curvilinear Cluster Sets

Published online by Cambridge University Press:  22 January 2016

Peter Lappan
Peter Lappan*
Affiliation:
Michigan State University
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Let D be the unit disk | z | < 1 and let f be a complex-valued function continuous in D. The cluster set C(f, eiθ ) of f at eiθ is defined by

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 34 , March 1969, pp. 25 - 34
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1969

References

[1] Bagemihl, F. and Seidel, W., Some boundary properties of analytic functions, Math. Z. 61 (1954), 186–199.Google Scholar
[2] Bagemihl, F. and Seidel, W., Functions of bounded characteristic with prescribed ambiguous points, Michigan Math, J. 3 (1955–56), 77–81.Google Scholar
[3] Collingwood, E.F. and Lohwater, A.J., The theory of cluster sets, Cambridge Tracts in Mathematics and Mathematical Physics, Cambridge University Press, 1966.Google Scholar