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Some Coefficient Bounds Associated with Transforms of Bounded Turning Functions

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Ukrainian Mathematical Journal Aims and scope

We establish an upper bound for the Hankel determinants of certain orders linked with the kth-root transform \({\left[f\left({z}^{k}\right)\right]}^\frac{1}{k}\) 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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Correspondence to D. Vamshee Krishna.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 12, pp. 1673–1678, December, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i12.6671.

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Vani, N., Vamshee Krishna, D. & Shalini, D. Some Coefficient Bounds Associated with Transforms of Bounded Turning Functions. Ukr Math J 74, 1909–1915 (2023). https://doi.org/10.1007/s11253-023-02177-8

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  • DOI: https://doi.org/10.1007/s11253-023-02177-8

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