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Some properties associated to a certain class of starlike functions

  • Vali Soltani Masih EMAIL logo , Ali Ebadian und Sibel Yalçin
Veröffentlicht/Copyright: 22. Dezember 2019
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Abstract

Let 𝓐 denote the family of analytic functions f with f(0) = f′(0) – 1 = 0, in the open unit disk Δ. We consider a class

Scs(α):=fA:zf(z)f(z)1z1+α1zαz2,zΔ,

where 0 ≤ α ≤ 1/2, and ≺ is the subordination relation. The methods and techniques of geometric function theory are used to get characteristics of the functions in this class. Further, the sharp inequality for the logarithmic coefficients γn of fScs(α):

n=1γn2141+α2π262Li2α+Li2α2,

where Li2 denotes the dilogarithm function are investigated.

  1. Communicated by Stanisława Kanas

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Received: 2019-01-11
Accepted: 2019-04-30
Published Online: 2019-12-22
Published in Print: 2019-12-18

© 2019 Mathematical Institute Slovak Academy of Sciences

Artikel in diesem Heft

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