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Proceedings of the American Mathematical Society
Article . 1972 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1972 . Peer-reviewed
Data sources: Crossref
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On Functions of Bounded Rotation

On functions of bounded rotation
Authors: Noonan, J. W.;

On Functions of Bounded Rotation

Abstract

For fixed k_ 2, denote by Vk and Rk the classes of functions regular in the unit disc and having boundary and radial rotation, respectively, at most klT. The concept of order of a function is defined for both Vk and Rk. For functions in these classes, the growth of integral and coefficient means is studied in terms of the order of the function. Some length-area results are also obtained.

Keywords

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Extremal problems for conformal and quasiconformal mappings, other methods, Coefficient problems for univalent and multivalent functions of one complex variable

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
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