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 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 …

Radius problems for starlike functions associated with the tan hyperbolic function

K Ullah, S Zainab, M Arif, M Darus… - Journal of Function …, 2021 - Wiley Online Library
The aim of this particular article is at studying a holomorphic function f defined on the open‐
unit disc D= z∈ ℂ: z< 1 for which the below subordination relation holds zf′ z/fz≺ q 0 z= 1+ …

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 …

Certain subclasses of analytic functions associated with generalized telephone numbers

G Murugusundaramoorthy, K Vijaya - Symmetry, 2022 - mdpi.com
The goal of this article is to contemplate coefficient estimates for a new class of analytic
functions f associated with generalized telephone numbers to originate certain initial Taylor …

Results on second-Order Hankel determinants for convex functions with symmetric points

K Ullah, I Al-Shbeil, MI Faisal, M Arif, H Alsaud - Symmetry, 2023 - mdpi.com
One of the most important problems in the study of geometric function theory is knowing how
to obtain the sharp bounds of the coefficients that appear in the Taylor–Maclaurin series of …

[PDF][PDF] Sharp bounds of Hankel determinants for certain subclass of starlike functions

ZG Wang, M Arif, ZH Liu, S Zainab, R Fayyaz… - J. Appl. Anal …, 2023 - jaac-online.com
The main objective of this paper is to study coefficient problems for starlike functions located
in the petal shaped domain. The bounds of the first three initial coefficients, bounds of …

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 …

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 …