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TWMS Journal of Applied and Engineering Mathematics
Article . 2018 . Peer-reviewed
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zbMATH Open
Article . 2018
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q-STARLIKE FUNCTIONS OF ORDER ALPHA

\(q\)-starlike functions of order alpha
Authors: Uçar, Faruk; Yılmaz, Bülent; POLATOĞLU, YAŞAR;

q-STARLIKE FUNCTIONS OF ORDER ALPHA

Abstract

Summary: For all \(q\in(0,1)\) and \(0\leq \alpha<1\) we define a class of analytic functions, so-called \(q\)-starlike functions of order \(\alpha\) on the open unit disc \(\mathbb D=\{z:| z|<1\}\). We will study this class of functions and explore some inclusion properties with the well-known class Starlike functions of order \(\alpha\).

Country
Turkey
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Keywords

Q-starlike Functions, inclusion properties, Bozulma Teoremi, Operators, Growth theorem, Coefficient Inequality, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), coefficient inequality, Distortion Theorem, q-starlike functions, Büyüme Teoremi, distortion theorem, OPERATORS, Growth Theorem, growth theorem, Katsayı Eşitsizliği, q-starlike functions;distortion theorem;growth theorem;coecient inequality., Q-starlike İşlevleri, new class of analytic functions in the disk, star-like functions of order \(\alpha\), Coefficient inequality, Distortion theorem

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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!
1
Average
Average
Average
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gold