Fekete-Szegö and Second Hankel Determinant for a Subclass of Holomorphic p-Valent Functions Related to Modified Sigmoid

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DOI: https://doi.org/10.28924/2291-8639-22-2024-90
Published: May 27, 2024
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Musthafa Ibrahim, Bilal Khan, Lakhdar Ragoub, Ayman Alahmade, Fekete-Szegö and Second Hankel Determinant for a Subclass of Holomorphic p-Valent Functions Related to Modified Sigmoid, Int. J. Anal. Appl., 22 (2024), 90.

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Musthafa Ibrahim, Bilal Khan, Lakhdar Ragoub, Ayman Alahmade

Abstract

This research paper’s primary focus is on applications of modified sigmoid functions to the class of holomorphic multivalent functions. Because of its multiple applications in computer sciences, engineering, and physics, we investigate the initial coefficient bounds for a new generalized subclass of holomorphic functions related to Sigmoid functions. Also, the relevant connections with the famous classical Fekete-Szegö inequality for these classes are discussed. The second Hankel determinant for the newly defined function class is obtained.

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