Some Coefficient Bounds Associated with Transforms of Bounded Turning Functions

We establish an upper bound for the Hankel determinants of certain orders linked with the k th-root transform f z k 1 k of the holomorphic mapping f ( z ) whose derivative has a positive real part with normalization, namely, f (0) = 0 and f ′(0) = 1.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2023-05, Vol.74 (12), p.1909-1915
Main Authors: Vani, N., Vamshee Krishna, D., Shalini, D.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
Upper bounds
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Summary:We establish an upper bound for the Hankel determinants of certain orders linked with the k th-root transform f z k 1 k of the holomorphic mapping f ( z ) whose derivative has a positive real part with normalization, namely, f (0) = 0 and f ′(0) = 1.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-023-02177-8