Third Hankel determinants for subclasses of univalent functions

P Zaprawa - Mediterranean Journal of Mathematics, 2017 - Springer
The main aim of this paper is to discuss the third Hankel determinants for three classes: S^*
S∗ of starlike functions, KK of convex functions and RR of functions whose derivative has a …

A study of sharp coefficient bounds for a new subfamily of starlike functions

K Ullah, HM Srivastava, A Rafiq, M Arif… - Journal of Inequalities and …, 2021 - Springer
In this article, by employing the hyperbolic tangent function tanh z, a subfamily S tanh∗
S_\tanh^∗ of starlike functions in the open unit disk D⊂ CD⊂C: D= z: z∈ C and| z|< 1 …

An investigation of the third Hankel determinant problem for certain subfamilies of univalent functions involving the exponential function

L Shi, HM Srivastava, M Arif, S Hussain, H Khan - Symmetry, 2019 - mdpi.com
In the current article, we consider certain subfamilies S e∗ and C e of univalent functions
associated with exponential functions which are symmetric along real axis in the region of …

Hankel determinant of order three for familiar subsets of analytic functions related with sine function

M Arif, M Raza, H Tang, S Hussain, H Khan - Open Mathematics, 2019 - degruyter.com
Hankel determinant of order three for familiar subsets of analytic functions related with sine
function Skip to content Should you have institutional access? Here's how to get it ... De Gruyter …

[PDF][PDF] The Fekete-Szego ̈ functional and the Hankel determinant for a certain class of analytic functions involving the Hohlov operator

HM Srivastav, TG Shaba… - AIMS …, 2022 - eprints.lmu.edu.ng
The Fekete-Szeg\"{o} functional and the Hankel determinant for a certain class of analytic
functions involving the Hohlov o Page 1 http://www.aimspress.com/journal/Math AIMS …

Sharp Bounds of the Coefficient Results for the Family of Bounded Turning Functions Associated with a Petal‐Shaped Domain

OM Barukab, M Arif, M Abbas… - Journal of Function …, 2021 - Wiley Online Library
The goal of this article is to determine sharp inequalities of certain coefficient‐related
problems for the functions of bounded turning class subordinated with a petal‐shaped …

The sharp bounds of the second and third Hankel determinants for the class 𝓢𝓛*

S Banga, S Sivaprasad Kumar - Mathematica Slovaca, 2020 - degruyter.com
In this paper, we use the novel idea of incorporating the recently derived formula for the
fourth coefficient of Carathéodory functions, in place of the routine triangle inequality to …

Sharp bounds of some coefficient functionals over the class of functions convex in the direction of the imaginary axis

NE Cho, B KOWALCZYK, A LECKO - Bulletin of the Australian …, 2019 - cambridge.org
We apply the Schwarz lemma to find general formulas for the third coefficient of
Carathéodory functions dependent on a parameter in the closed unit polydisk. Next we find …

Sharp bounds of Hankel determinant on logarithmic coefficients for functions starlike with exponential function

L Shi, M Arif, J Iqbal, K Ullah, SM Ghufran - Fractal and Fractional, 2022 - mdpi.com
Using the Lebedev–Milin inequalities, bounds on the logarithmic coefficients of an analytic
function can be transferred to estimates on coefficients of the function itself and related …

A study of third Hankel determinant problem for certain subfamilies of analytic functions involving cardioid domain

L Shi, I Ali, M Arif, NE Cho, S Hussain, H Khan - Mathematics, 2019 - mdpi.com
In the present article, we consider certain subfamilies of analytic functions connected with
the cardioid domain in the region of the unit disk. The purpose of this article is to investigate …