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Coefficient Bounds for Multivalent Classes of Starlike and Convex Functions Defined by Higher-Order Derivatives and Complex Order

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Ukrainian Mathematical Journal Aims and scope

We establish coefficient bounds for functions from the subclasses of p-valent starlike and p-valent convex functions defined by higher-order derivatives and complex order introduced with the help of a certain nonhomogeneous Cauchy–Euler differential equation with higher-order derivatives. Relevant connections of some of our results with the results obtained earlier are provided.

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Correspondence to M. K. Aouf.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 10, pp. 1308–1316, October, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i10.6258.

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Aouf, M.K., Mostafa, A.O. & Bulboacă, T. Coefficient Bounds for Multivalent Classes of Starlike and Convex Functions Defined by Higher-Order Derivatives and Complex Order. Ukr Math J 74, 1490–1499 (2023). https://doi.org/10.1007/s11253-023-02150-5

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  • DOI: https://doi.org/10.1007/s11253-023-02150-5

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