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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A note on multivalence of functions of bounded index


Author: Gerd H. Fricke
Journal: Proc. Amer. Math. Soc. 40 (1973), 140-142
MSC: Primary 30A66; Secondary 30A36
DOI: https://doi.org/10.1090/S0002-9939-1973-0320315-9
MathSciNet review: 0320315
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Abstract: This paper examines the relationship between the concept of bounded index and the radius of univalence, respectively $ p$-valence, of entire functions and their derivatives at arbitrary points in the plane.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0320315-9
Keywords: Functions of bounded index, univalent, $ p$-valent, exponential type
Article copyright: © Copyright 1973 American Mathematical Society