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A Remark on p-Valent Functions

Published online by Cambridge University Press:  09 April 2009

James A. Jenkins  and
Kôtaro Oikawa
James A. Jenkins
Affiliation:
Washington University, St. Louis and University of Tokyo
Kôtaro Oikawa
Affiliation:
Washington University, St. Louis and University of Tokyo
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In the theory of multivalent functions there are several different levels of postulates for p-valency. Perhaps the most well-known is the class of mean p-valent functions in the sense of Spencer [8] (we shall refer to them as areally mean p-valent functions), whose basic properties are found, e.g., in Hayman [4]. Recently Eke [1, 2] extended to these functions a number of results which had been known for circumferentially mean p-valent functions.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 12 , Issue 4 , November 1971 , pp. 397 - 404
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Eke, B. G., ‘Remarks on Ahlfors' distortion theorem’, J. Anal. Math. 19 (1967), 97–134.CrossRefGoogle Scholar
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[7]Jenkins, J. A., ‘On the growth of slowly increasing unbounded harmonic functions’, Acta Math. 124 (1970), 37–63.CrossRefGoogle Scholar
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