Journal of the
Korean Mathematical Society
JKMS
ISSN(Print) 0304-9914
ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2008; 45(6): 1661-1676
Printed November 1, 2008
Copyright © The Korean Mathematical Society.
Norm estimates and univalence criteria for meromorphic functions
Saminathan Ponnusamy and Toshiyuki Sugawa
Indian Institute of Technology Madras and Hiroshima University
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
MSC numbers: Primary 30C55; Secondary 30F60
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