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Sharp Coefficient Bounds for Analytic Functions Related to Bounded Turning Functions

Author

Listed:
  • Sudhansu Palei

    (Department of Mathematics, Berhampur University, Berhampur 760007, Odisha, India)

  • Madan Mohan Soren

    (Department of Mathematics, Berhampur University, Berhampur 760007, Odisha, India)

  • Luminiţa-Ioana Cotîrlǎ

    (Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania)

  • Daniel Breaz

    (Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania)

Abstract

Let B denote the class of bounded turning functions F analytic in the open unit disk, where the image of F ′ ( z ) is contained in the domain Ω ( z ) = cosh z + 2 z 2 − z 2 . This article determines sharp coefficient bounds, a Fekete–Szegö-type inequality, and second- and third-order Hankel determinants for functions in the class B . Additionally, we obtain sharp Krushkal and Zalcman functional-type inequalities related to the logarithmic coefficient for functions belonging to B .

Suggested Citation

  • Sudhansu Palei & Madan Mohan Soren & Luminiţa-Ioana Cotîrlǎ & Daniel Breaz, 2025. "Sharp Coefficient Bounds for Analytic Functions Related to Bounded Turning Functions," Mathematics, MDPI, vol. 13(11), pages 1-24, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1845-:d:1670012
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