Generalized coefficient estimates for a new subclass of analytic functions

In this study, a new subclass of analytic functions in the open unit disk was defined with the help of the function obtained by applying the Sălăgean derivative to the [Formula: see text]-Ruscheweyh derivative operator. For the functions belonging to this subclass, the coefficient bounds for the Fekete–Szegö functional were determined. The results of this paper are a generalization of the results of Kanas and Darwish [Fekete–Szegö problem for starlike and convex functions of complex order, Appl. Math. Lett. 23(7) (2010) 777–782].

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-07-18
DOI
https://doi.org/10.1142/s1793557125500809
Primary Topic
Analytic and geometric function theory
Type
article
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article

Generalized coefficient estimates for a new subclass of analytic functions

Murat Çağlar, Halit Orhan
Asian-European Journal of Mathematics
Analytic and geometric function theory
article

Generalized coefficient estimates for a new subclass of analytic functions

Murat Çağlar, Halit Orhan
article en

Abstract

In this study, a new subclass of analytic functions in the open unit disk was defined with the help of the function obtained by applying the Sălăgean derivative to the [Formula: see text]-Ruscheweyh derivative operator. For the functions belonging to this subclass, the coefficient bounds for the Fekete–Szegö functional were determined. The results of this paper are a generalization of the results of Kanas and Darwish [Fekete–Szegö problem for starlike and convex functions of complex order, Appl. Math. Lett. 23(7) (2010) 777–782].

Asian-European Journal of MathematicsVol. 19(03)
Erzurum Technical University (TR), Atatürk University (TR)
Reduced inequalities
Openalex Percentile: Top 75%
Analytic and geometric function theory
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Generalized coefficient estimates for a new subclass of analytic functions — Murat Çağlar, Halit Orhan · Asian-European Journal of Mathematics (2025) | TGRS Research Map | TGRS