Certain subclasses of bi-univalent functions associated with the Horadam polynomials

HM Srivastava, Ş Altınkaya, S Yalçın - Iranian journal of science and …, 2019 - Springer
Abstract In Geometric Function Theory, there have been many interesting and fruitful usages
of a wide variety of special functions and special polynomials. Here, in this article, we …

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 …

[HTML][HTML] Initial Maclaurin Coefficient Bounds for New Subclasses of Analytic and m-Fold Symmetric Bi-Univalent Functions Defined by a Linear Combination

HM Srivastava, AK Wanas - Kyungpook mathematical journal, 2019 - kmj.knu.ac.kr
In the present investigation, we define two new subclasses of analytic and m-fold symmetric
bi-univalent functions defined by a linear combination in the open unit disk U. Furthermore …

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 …

[PDF][PDF] The Faber polynomial expansion method and its application to the general coefficient problem for some subclasses of bi-univalent functions associated with a …

HM Srivastava, S Khan, QZ Ahmad, N Khan… - Stud. Univ. Babes …, 2018 - academia.edu
In our present investigation, we first introduce several new subclasses of analytic and bi-
univalent functions by using a certain q-integral operator in the open unit disk U={z: z∈ …

Some special families of holomorphic and Al-Oboudi type bi-univalent functions related to k-Fibonacci numbers involving modified Sigmoid activation function

BA Frasin, SR Swamy, J Nirmala - Afrika Matematika, 2021 - Springer
The aim of the present paper is to introduce some special families of holomorphic and Al-
Oboudi type bi-univalent functions related to k-Fibonacci numbers involving modified …

Applications of q-derivative operator to subclasses of bi-univalent functions involving Gegenbauer polynomials

Q Hu, TG Shaba, J Younis, B Khan… - … in Science and …, 2022 - Taylor & Francis
In recent years, using the idea of analytic and bi-univalent functions, many ideas have been
developed by different well-known authors, but the using Gegenbauer polynomials along …