Sharp Coefficient Bounds for Analytic Functions Related to Bounded Turning Functions

Sudhansu Palei, Madan Mohan Soren (), Luminiţa-Ioana Cotîrlǎ () and Daniel Breaz ()
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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

Mathematics, 2025, vol. 13, issue 11, 1-24

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 .

Keywords: analytic functions; bounded turning functions; coefficient bounds; Fekete–Szegö-type inequality; Hankel determinant; Krushkal and Zalcman functional (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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