Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain

UDC 517.5 We introduce a new subclass of analytic functions based on the Mathieu-type series related to a petal-shaped domain. We investigate the bounds of the initial coefficient estimates, the Fekete–Szegö inequality, and the Hankel determinant of order two and three.

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Bibliographic Details
Date:2024
Main Authors: Panigrahi, T., Pattnayak, E., El-Ashwah, R. M.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7335
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal