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 …

[PDF][PDF] Faber polynomial coefficient estimates of bi-close-to-convex functions connected with the Borel distribution of the Mittag-Leffler type

HM Srivastava, G Murugusundaramoorthy… - J. Nonlinear Var …, 2021 - jnva.biemdas.com
By using the Borel distribution series of the Mittag-Leffler type, we introduce a new class of
the bi-close-to-convex functions defined in the open unit disk. We then apply the Faber …

Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

I Al-shbeil, J Gong, S Khan, N Khan, A Khan… - Fractal and …, 2022 - mdpi.com
This paper considers the basic concepts of q-calculus and the principle of subordination. We
define a new subclass of q-starlike functions related to the Salagean q-differential operator …

[PDF][PDF] On q-analogue of meromorphic multivalent functions in lemniscate of Bernoulli domain

B Ahmad, MG Khan, BA Frasin, MK Aouf… - AIMS Math, 2021 - aimspress.com
Utilizing the concepts from q-calculus in the field of geometric function theory, we introduce a
subclass of p-valent meromorphic functions relating to the domain of lemniscate of Bernoulli …

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 …

New Applications of Fractional q-Calculus Operator for a New Subclass of q-Starlike Functions Related with the Cardioid Domain

MF Khan, M AbaOud - Fractal and Fractional, 2024 - mdpi.com
Recently, a number of researchers from different fields have taken a keen interest in the
domain of fractional q-calculus on the basis of fractional integrals and derivative operators …

A Class of k-Symmetric Harmonic Functions Involving a Certain q-Derivative Operator

HM Srivastava, N Khan, S Khan, QZ Ahmad, B Khan - Mathematics, 2021 - mdpi.com
In this paper, we introduce a new class of harmonic univalent functions with respect to k-
symmetric points by using a newly-defined q-analog of the derivative operator for complex …

[PDF][PDF] Hankel and Toeplitz determinant for a subclass of multivalent q-starlike functions of order α

H Tang, S Khan, S Hussain, N Khan - AIMS Math, 2021 - academia.edu
In this paper our aim is to study some valuable problems dealing with newly defined
subclass of multivalent q-starlike functions. These problems include the initial coefficient …

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 …