Coefficient Bounds for a Certain Subclass of Close-to-Convex Functions Associated With the Koebe Function

Rathi, Sidik; Soh, Shaharuddin Cik; Akbarally, Ajab Bai

doi:10.24191/mjoc.v3i2.4601

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2019

2023

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Cited by 2 publications

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“…The study on the second Hankel determinant, that is finding the upper bound of the functional [7], [8], [9], [10], [11], [12]). Particularly, for f ∈ Cb satisfying (2) with certain functions ( )…”

Section: Introductionmentioning

confidence: 99%

Second Hankel Determinants for a Subclass of Close-to-Convex Function Related to Certain Generalized Keobe Function

Rathi,

Wan Ibrahim,

Mat Razali

2023

MIJ

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For ages, researchers have conducted numerous studies exploring every aspect of problems related to univalent functions. Most of the research has been concentrated on investigating the diverse properties of univalent functions. Notably, finding the upper bound of Hankel determinants has become an intriguing problem among researchers in this field. The aim of this paper is to solve on the second Hankel determinant problem for the class k z β ( ) C of close-to-convex functions related with the certain generalized starlike functions. We first give the definition of the class k z β ( ) C and use certain preliminary lemmas to achieve on the main goal of this research. The finding of this research generalizes certain results related to the second Hankel determinant of other classes of close-to-convex functions.

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