The sharp bound of the third Hankel determinant of the kth-root transformation for bounded turning functions

The sharp bound of the third Hankel determinant of the kth-root transformation for bounded turning functions

The objective of this paper is to estimate the sharp bound of the third Hankel determinant for the kth-root transformation to the class of functions whose derivative has a positive real part satisfying the normalized conditions f(0) = 0 and f′(0) = 1 in the open unit disk D := {z ∈ C : |z| < 1}....

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Veröffentlicht in:Acta et commentationes Universitatis Tartuensis de mathematica 2023-12, Vol.27 (2), p.185-210
Hauptverfasser: Srivastava, HARI MOHAN, Rath, Biswajit, KARRI, SANJAY KUMAR, D., VAMSHEE KRISHNA
Format: Artikel
Sprache:eng
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Zusammenfassung:The objective of this paper is to estimate the sharp bound of the third Hankel determinant for the kth-root transformation to the class of functions whose derivative has a positive real part satisfying the normalized conditions f(0) = 0 and f′(0) = 1 in the open unit disk D := {z ∈ C : |z| < 1}.
ISSN:1406-2283
2228-4699
DOI:10.12697/ACUTM.2023.27.15