Abstract
In this article, we familiarize a subclass of Kamali-type starlike functions connected with limacon domain of bean shape. We examine certain initial coefficient bounds and Fekete-Szegö inequalities for the functions in this class. Analogous results have been acquired for the functionsf−1andξ/fξand also found the upper bound for the second Hankel determinanta2a4−a32.
Highlights
Denote by A the class of analytic functions f ðξÞ = ξ + a2ξ2 + a3ξ3 + ⋯, ð1Þ in the open unit disk U = fξ : ∣ξ∣
For example, in viewing that whether the certain coefficient functionals related to functions are bounded in U or not and do they carry the sharp bounds, see [1]
In [5], it is evidenced that the Hankel determinants of univalent functions satisfy
Summary
Denote by A the class of analytic functions f ðξÞ = ξ + a2ξ2 + a3ξ3 + ⋯, ð1Þ In [5], it is evidenced that the Hankel determinants of univalent functions satisfy Motivated by this present work and other aforesaid articles, the goal in this paper is to examine some coefficient inequalities and bounds on Hankel determinants of the Kamali-type class of starlike functions satisfying the conditions as given in Definition 1. Let the function f ∈ Mðθ, φÞ be given by (1) ja2j ≤
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