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Spiral Asymptotic Values of Functions Meromorphic in the Unit Disk

Published online by Cambridge University Press:  22 January 2016

J.L. Stebbins
J.L. Stebbins*
Affiliation:
Wayne State University and The University of Wisconsin-Milwaukee
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This paper contains part of the author’s Ph.D. dissertation directed by Frederick Bagemihl at Wayne State University. The research was supported by a grant from the Michigan Institute of Science and Technology.

Alice Roth has made an extensive study of entire meromorphic functions with prescribed behavior along half rays emanating from the origin (6). The question arose whether analogous results could be found for functions meromorphic in the unit disk with the same behavior prescribed along an exhaustive class of spirals emanating from the origin. In this paper, I present a class of spirals which satisfactorily fills this role. However, I make no claim to the effect that only this class will suffice.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 30 , August 1967 , pp. 247 - 262
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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