Estimates of coefficients for bi-univalent Ma-Minda-type functions associated with $ \mathfrak{q} $-Srivastava-Attiya operator

In this article, we consider new subclasses of analytic and bi-univalent functions associated with the q-Srivastava-Attiya operator in the open unit disk. We obtain coefficient bounds for the Taylor-Maclaurin coefficients $ |a_2| $ and $ |a_3| $ of the functions of these new subclasses. Furthermore, we establish the Fekete-Szegö inequality for functions in the classes $ \mathcal{T}^{\epsilon}_{\tau, \mathfrak{q}, \alpha}(\psi), \; \mathcal{KH}^{\epsilon}_{\tau, \mathfrak{q}, \alpha}(\delta, \psi), \text{and}\; \mathcal{A}^{\epsilon}_{\tau, \mathfrak{q}, \alpha}(\delta, \psi) $.

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Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025333
Primary Topic
Analytic and geometric function theory
Type
article
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article

Estimates of coefficients for bi-univalent Ma-Minda-type functions associated with $ \mathfrak{q} $-Srivastava-Attiya operator

H. E. Darwish, Adarey Saud Almutairi, Norah Saud Almutairi, Awatef Shahen
AIMS Mathematics
Analytic and geometric function theory
article

Estimates of coefficients for bi-univalent Ma-Minda-type functions associated with $ \mathfrak{q} $-Srivastava-Attiya operator

H. E. Darwish, Adarey Saud Almutairi, Norah Saud Almutairi, Awatef Shahen
article en

Abstract

In this article, we consider new subclasses of analytic and bi-univalent functions associated with the q-Srivastava-Attiya operator in the open unit disk. We obtain coefficient bounds for the Taylor-Maclaurin coefficients $ |a_2| $ and $ |a_3| $ of the functions of these new subclasses. Furthermore, we establish the Fekete-Szegö inequality for functions in the classes $ \mathcal{T}^{\epsilon}_{\tau, \mathfrak{q}, \alpha}(\psi), \; \mathcal{KH}^{\epsilon}_{\tau, \mathfrak{q}, \alpha}(\delta, \psi), \text{and}\; \mathcal{A}^{\epsilon}_{\tau, \mathfrak{q}, \alpha}(\delta, \psi) $.

AIMS MathematicsVol. 10(3)
Qassim University (SA), Mansoura University (EG)
Reduced inequalities
Openalex Percentile: Top 89%
Analytic and geometric function theory
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