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<p>In this paper, we introduce a new class of Bazilevič bi-univalent functions with complex order, defined in the open unit disk by employing bounded analytic functions. We establish precise bounds for the second and third Taylor–Maclaurin coefficients of functions in this class. Our results generalize several known coefficient estimates in geometric function theory. Furthermore, we examine important special cases that demonstrate the practical implications of our findings.</p>

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Coefficient estimates for certain class of bi-Bazilevič bounded functions with complex of order

  • 期刊论文

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  • 发表日期：

    2025年9月3日

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  • Tamer M. Seoudy

摘要

In this paper, we introduce a new class of Bazilevič bi-univalent functions with complex order, defined in the open unit disk by employing bounded analytic functions. We establish precise bounds for the second and third Taylor–Maclaurin coefficients of functions in this class. Our results generalize several known coefficient estimates in geometric function theory. Furthermore, we examine important special cases that demonstrate the practical implications of our findings.