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http://dx.doi.org/10.4134/JKMS.2008.45.6.1661

NORM ESTIMATES AND UNIVALENCE CRITERIA FOR MEROMORPHIC FUNCTIONS  

Ponnusamy, Saminathan (DEPARTMENT OF MATHEMATICS INDIAN INSTITUTE OF TECHNOLOGY)
Sugawa, Toshiyuki (DEPARTMENT OF MATHEMATICS GRADUATE SCHOOL OF SCIENCE HIROSHIMA UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.6, 2008 , pp. 1661-1676 More about this Journal
Abstract
Norm estimates of the pre-Schwarzian derivatives are given for meromorphic functions in the outside of the unit circle. We deduce several univalence criteria for meromorphic functions from those estimates.
Keywords
univalence criterion; pre-Schwarzian derivative;
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