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The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped Domains. (9th September 2022)
Record Type:
Journal Article
Title:
The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped Domains. (9th September 2022)
Main Title:
The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped Domains
Abstract : The present study's intention is to produce exact estimations of some problems involving logarithmic coefficients for functions belonging to the considered subcollection B T sin of the bounded turning class. Furthermore, for the class B T sin, we look into the accurate bounds of the Zalcman inequality, Fekete-Szegö inequality along with D 2, 1 G g / 2 and D 2, 2 G g / 2 . Importantly, all of these bounds are shown to be sharp.