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 …

The sharp bounds of the third-order Hankel determinant for certain analytic functions associated with an eight-shaped domain

L Shi, M Shutaywi, N Alreshidi, M Arif… - Fractal and Fractional, 2022 - mdpi.com
The main focus of this research is to solve certain coefficient-related problems for analytic
functions that are subordinated to a unique trigonometric function. For the class S sin*, with …

Sharp Coefficient Bounds for a New Subclass of q-Starlike Functions Associated with q-Analogue of the Hyperbolic Tangent Function

C Swarup - Symmetry, 2023 - mdpi.com
In this study, by making the use of q-analogous of the hyperbolic tangent function and a
Sălăgean q-differential operator, a new class of q-starlike functions is introduced. The prime …

Sharp bounds of Hankel determinant on logarithmic coefficients for functions of bounded turning associated with petal-shaped domain

L Shi, M Arif, A Rafiq, M Abbas, J Iqbal - Mathematics, 2022 - mdpi.com
The purpose of this article is to obtain the sharp estimates of the first four initial logarithmic
coefficients for the class BT s of bounded turning functions associated with a petal-shaped …

The sharp bounds of Hankel determinants for the families of three-leaf-type analytic functions

M Arif, OM Barukab, S Afzal Khan, M Abbas - Fractal and Fractional, 2022 - mdpi.com
The theory of univalent functions has shown strong significance in the field of mathematics. It
is such a vast and fully applied topic that its applications exist in nearly every field of applied …

Estimation of the second-order Hankel determinant of logarithmic coefficients for two subclasses of starlike functions

P Sunthrayuth, I Aldawish, M Arif, M Abbas, S El-Deeb - Symmetry, 2022 - mdpi.com
In our present study, two subclasses of starlike functions which are symmetric about the
origin are considered. These two classes are defined with the use of the sigmoid function …

The sharp bound of the third Hankel determinant for the inverse of bounded turning functions

S Kumar, B Rath - Contemporary Mathematics, 2023 - ojs.wiserpub.com
The Sharp Bound of the Third Hankel Determinant for the Inverse of Bounded Turning Functions
Page 1 Contemporary Mathematics 30 | Biswajit Rath, et al. Contemporary Mathematics …

The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight‐Shaped Domains

P Sunthrayuth, N Iqbal, M Naeem… - Journal of Function …, 2022 - Wiley Online Library
The present study's intention is to produce exact estimations of some problems involving
logarithmic coefficients for functions belonging to the considered subcollection BT sin of the …

Sharp coefficient problems of functions with bounded turnings subordinated by sigmoid function

M Arif, S Marwa, Q Xin, F Tchier, M Ayaz, SN Malik - Mathematics, 2022 - mdpi.com
This study deals with analytic functions with bounded turnings, defined in the disk O d= z: z<
1. These functions are subordinated by sigmoid function 2 1+ e− z and their class is denoted …

Investigation of the Hankel Determinant Sharp Bounds for a Specific Analytic Function Linked to a Cardioid-Shaped Domain

I Al-Shbeil, MI Faisal, M Arif, M Abbas, RK Alhefthi - Mathematics, 2023 - mdpi.com
One of the challenging tasks in the study of function theory is how to obtain sharp estimates
of coefficients that appear in the Taylor–Maclaurin series of analytic univalent functions, and …