Coefficient estimates and Fekete–Szegö inequalities for a families of bi- functions related to q-Srivastava–Attiya operator

In this paper, by making use of [Formula: see text]-Srivastava–Attiya operator, we define a certain families of holomorphic and bi-univalent functions [Formula: see text] and [Formula: see text] which defined in the unit disk [Formula: see text]. The initial coefficient estimates [Formula: see text] and [Formula: see text] on the certain families are obtained. Also, we investigate Fekete–Szegö-type inequalities for these families. Further, we point out several certain special cases for our results.

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-04-11
DOI
https://doi.org/10.1142/s1793557125500408
Primary Topic
Analytic and geometric function theory
Type
article
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article

Coefficient estimates and Fekete–Szegö inequalities for a families of bi- functions related to q-Srivastava–Attiya operator

Abbas Kareem Wanas, Noor Yasser Jabir
1 links
Asian-European Journal of Mathematics
Analytic and geometric function theory
article

Coefficient estimates and Fekete–Szegö inequalities for a families of bi- functions related to q-Srivastava–Attiya operator

Abbas Kareem Wanas, Noor Yasser Jabir
article en

Abstract

In this paper, by making use of [Formula: see text]-Srivastava–Attiya operator, we define a certain families of holomorphic and bi-univalent functions [Formula: see text] and [Formula: see text] which defined in the unit disk [Formula: see text]. The initial coefficient estimates [Formula: see text] and [Formula: see text] on the certain families are obtained. Also, we investigate Fekete–Szegö-type inequalities for these families. Further, we point out several certain special cases for our results.

Asian-European Journal of MathematicsVol. 18(10)
University of Al-Qadisiyah (IQ)
Reduced inequalities
Openalex Percentile: Top 88%
Analytic and geometric function theory
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Coefficient estimates and Fekete–Szegö inequalities for a families of bi- functions related to q-Srivastava–Attiya operator — Abbas Kareem Wanas, Noor Yasser Jabir · Asian-European Journal of Mathematics (2025) | TGRS Research Map | TGRS