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 …

On the third and fourth Hankel determinants for a subclass of analytic functions

ZG Wang, M Raza, M Arif, K Ahmad - Bulletin of the Malaysian …, 2022 - Springer
On the Third and Fourth Hankel Determinants for a Subclass of Analytic Functions |
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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 …

Results on Hankel determinants for the inverse of certain analytic functions subordinated to the exponential function

L Shi, HM Srivastava, A Rafiq, M Arif, M Ihsan - Mathematics, 2022 - mdpi.com
In the present paper, we aimed to discuss certain coefficient-related problems for the inverse
functions associated with a bounded turning functions class subordinated with the …

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 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 …

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 …

Hankel determinants and coefficient estimates for starlike functions related to symmetric Booth Lemniscate

M Raza, A Riaz, Q **n, SN Malik - Symmetry, 2022 - mdpi.com
In this paper, we find Hankel determinants and coefficient bounds for a subclass of starlike
functions related to Booth lemniscate. In particular, we obtain the first four sharp coefficient …