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 …

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 …

Some Applications of a New Integral Operator in q-Analog for Multivalent Functions

Q Khan, M Arif, M Raza, G Srivastava, H Tang… - Mathematics, 2019 - mdpi.com
This paper introduces a new integral operator in q-analog for multivalent functions. Using as
an application of this operator, we study a novel class of multivalent functions and define …

A Subclass of q-Starlike Functions Defined by Using a Symmetric q-Derivative Operator and Related with Generalized Symmetric Conic Domains

S Khan, S Hussain, M Naeem, M Darus, A Rasheed - Mathematics, 2021 - mdpi.com
In this paper, the concepts of symmetric q-calculus and conic regions are used to define a
new domain Ω k, q, α˜, which generalizes the symmetric conic domains. By using the domain …

Third Hankel determinant and Zalcman functional for a class of starlike functions with respect to symmetric points related with sine function

MG Khan, B Ahmad, G Murugusundaramoorthy… - 2022 - acikerisim.uludag.edu.tr
In this article we define a class of starlike functions with respect to symmetric points in the
domain of sine function. Also, we investigate coefficients bounds and upper bounds for the …

Inclusion Properties of p-Valent Functions Associated with Borel Distribution Functions

E Amini, M Fardi, MA Zaky, AM Lopes, AS Hendy - Mathematics, 2023 - mdpi.com
In this paper, we define a differential operator on an open unit disk Δ by using the novel
Borel distribution (BD) operator and means of convolution. This operator is adopted to …

Coefficient estimates for starlike and convex functions associated with cosine function

K Marımuthu, J Uma, T Bulboaca - Hacettepe Journal of …, 2023 - dergipark.org.tr
This paper deals with the new classes S^∗_\cos and S^\,c_\cos of starlike and convex
functions, respectively, associated with the cosine function. We give initial coefficient bounds …

Applications of Symmetric Conic Domains to a Subclass of q-Starlike Functions

S Khan, N Khan, A Hussain, S Araci, B Khan… - Symmetry, 2022 - mdpi.com
In this paper, the theory of symmetric q-calculus and conic regions are used to define a new
subclass of q-starlike functions involving a certain conic domain. By means of this newly …

Starlikeness associated with tangent hyperbolic function

H Tang, M Arif, K Ullah, N Khan… - Journal of Function …, 2022 - Wiley Online Library
The primary objective of this study is to establish a class of starlike functions (symmetric
under rotation) that are related to a tangent hyperbolic. Integral preserving properties along …

[PDF][PDF] The Characteristics of Inclusion Pertaining to Univalent Functions Associated with Bell Distribution Functions

O Alnajar, A Amourah, M Darus - Int. J. Open Problems Complex Analysis, 2023 - i-csrs.org
In this study, we employ the new Bell Distribution (BD) operator to define a differential
operator on an open unit disk D. Additionally, this operator is introduced, having been …