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Coefficient Estimates of New Families of Analytic Functions Associated with q-Hermite Polynomials

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In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients υ2, υ3, and υ4 of the… Click to show full abstract

In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients υ2, υ3, and υ4 of the Taylor–Maclaurin series and that of the Fekete–Szegö functional associated with the new classes, and we give the many consequences of our findings.

Keywords: coefficient estimates; analytic functions; estimates new; new families; hermite polynomials; families analytic

Journal Title: Axioms
Year Published: 2023

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