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On coefficients of some p-valent starlike functions

On coefficients of some \(p\)-valent starlike functions
Authors: Mamoru Nunokawa; Janusz Sokół; Nikola Tuneski;

On coefficients of some p-valent starlike functions

Abstract

We consider the class Ap of functions f analytic in the unit disk |z| < 1 in the complex plane, of the form f(z) = zp + ... such that Rezf(p)(z)/f (p-1)(z) > 0 in the unit disc. The object of the present paper is to derive some bounds for coefficients in this class and relation with the functions satisfying condition Ref(k)(z)/f(p-k)(z) > 0 in the unit disc.

Keywords

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), univalent functions, close-to-convex, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, convex, starlike

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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!
3
Average
Average
Average
gold