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Research Article | Open Access

Estimates of coefficients for bi-univalent Ma-Minda-type functions associated with q -Srivastava-Attiya operator

Norah Saud Almutairi1( )Adarey Saud Almutairi2Awatef Shahen3Hanan Darwish3
Department of Computer Science, College of Engineering and Information Technology, Onaizah Colleges, Qassim 56447, Saudi Arabia
Department of Mathematics, College of Science and Arts, Qassim University, Al Bukairiyah 51941, Al Qassim, Saudi Arabia
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
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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 T τ , q , α ϵ ( ψ ) , K H τ , q , α ϵ ( δ , ψ ) , and A τ , q , α ϵ ( δ , ψ ).

CLC number: 30C45

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AIMS Mathematics
Pages 7269-7289

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Cite this article:
Almutairi NS, Almutairi AS, Shahen A, et al. Estimates of coefficients for bi-univalent Ma-Minda-type functions associated with q -Srivastava-Attiya operator. AIMS Mathematics, 2025, 10(3): 7269-7289. https://doi.org/10.3934/math.2025333

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Received: 19 August 2024
Revised: 29 October 2024
Accepted: 04 November 2024
Published: 15 March 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)