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Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions

Author

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  • Huo Tang

    (School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China)

  • Ihtesham Gul

    (Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan
    Department of Mathematics, Government Postgraduate College Mandian, Abbottabad 22010, Pakistan)

  • Saqib Hussain

    (Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan)

  • Saima Noor

    (Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Al Ahsa 31982, Saudi Arabia)

Abstract

In this article, we use the q -derivative operator and the principle of subordination to define a new subclass of analytic functions related to the q -Ruscheweyh operator. Sufficient conditions, sharp bounds for the initial coefficients, a Fekete–Szegö functional and a Toeplitz determinant are investigated for this new class of functions. Additionally, we also present several established consequences derived from our primary findings.

Suggested Citation

  • Huo Tang & Ihtesham Gul & Saqib Hussain & Saima Noor, 2023. "Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions," Mathematics, MDPI, vol. 11(18), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3966-:d:1242616
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    References listed on IDEAS

    as
    1. A. K. Mishra & P. Gochhayat, 2008. "Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-10, March.
    2. V. Radhika & S. Sivasubramanian & G. Murugusundaramoorthy & Jay M. Jahangiri, 2016. "Toeplitz Matrices Whose Elements Are the Coefficients of Functions with Bounded Boundary Rotation," Journal of Complex Analysis, Hindawi, vol. 2016, pages 1-4, September.
    3. Hari M. Srivastava & Qazi Zahoor Ahmad & Nasir Khan & Nazar Khan & Bilal Khan, 2019. "Hankel and Toeplitz Determinants for a Subclass of q -Starlike Functions Associated with a General Conic Domain," Mathematics, MDPI, vol. 7(2), pages 1-15, February.
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