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Using a General Hurwitz-Lerch Zeta for BI-Univalent Analytic Functions to Estimate a Second Hankel Determinant

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  • Alaa Ali Aljamie

    (Mathematics Department, Faculty of Science, University of Derna, Derna, Libya.)

  • Nagat Muftah Alabbar

    (Mathematics Department, Faculty of Education of Benghazi, University of Benghazi.Libya)

Abstract

In this paper, we introduce and investigate a new class of bi- univalent functions defined in the open unit disk involving a general integral operator associated with the general Hurwitz- Lerch Zeta function denoted by . The main result of the investigation is to estimate the upper bounds for the initial Taylor–Maclaurin coefficients of functions and for this class. Following, we find the second Hankel determinant. Several new results are shown after specializing the parameters employed in our main results.

Suggested Citation

  • Alaa Ali Aljamie & Nagat Muftah Alabbar, 2025. "Using a General Hurwitz-Lerch Zeta for BI-Univalent Analytic Functions to Estimate a Second Hankel Determinant," International Journal of Research and Scientific Innovation, International Journal of Research and Scientific Innovation (IJRSI), vol. 12(5), pages 1502-1511, May.
    • Handle: RePEc:bjc:journl:v:12:y:2025:i:5:p:1502-1511
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