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An Application of Liouville–Caputo-Type Fractional Derivatives on Certain Subclasses of Bi-Univalent Functions

Fractal and Fractional
In this study, we present two novel subclasses of bi-univalent functions defined in the open unit disk, utilizing Liouville–Caputo fractional derivatives.
I. Aldawish   +4 more
semanticscholar   +1 more source

Representation of Bi-Univalent Functions to Lucas Balancing Polynomials with Geometric Properties and Coefficient Bounds

European Journal of Pure and Applied Mathematics
In this paper, we introduce and analyze a new subclass of bi-univalent functions defined in the open unit disk, associated with Lucas and Lucas balancing polynomials.
Stalin Thangamani   +5 more
semanticscholar   +1 more source

On a generalized class of \(q\)-Gegenbauer polynomials and subordination-defined bi-univalent functions

Open Journal of Mathematical Analysis
This work introduces a unique family of bi-univalent functions utilising \(q\)-Gegenbauer polynomials. The estimates of the initial coefficients \(\left\vert a_{2}\right\vert\) and \(\left\vert a_{2}\right\vert\) for functions in this new class, together
Abdullah Alatawi, S. H. Hadi, Y. T. Laz
semanticscholar   +1 more source

Certain Subclasses of Bi-Univalent Functions Governed By Generalized Bivariate Fibonacci Polynomials

Advances in Nonlinear Variational Inequalities
We study certain subclasses of bi-univalent and regular functions in the open unit disk that are governed by generalized bivariate Fibonacci polynomials. For these subclasses of functions, we derive initial coefficient bounds.
Sondekola Rudra   +7 more
semanticscholar   +1 more source

A Subclass of Bi-univalent Functions Defined by aSymmetric q-Derivative Operator and Gegenbauer Polynomials

European Journal of Pure and Applied Mathematics
This paper introduces a novel subclass of bi-univalent analytic functions by utilizing a symmetric q-derivative operator in conjunction with Gegenbauer polynomials.
Mohamed Illafe   +3 more
semanticscholar   +1 more source

New subclass of bi-univalent functions involving the Wright function associated with the Jung-Kim-Srivastav operator

Gulf Journal of Mathematics
In this paper, we introduce a novel operator formed by the convolution of the Jung-Kim-Srivastav operator and the Wright function. This operator is used to construct classes of analytic functions within the open unit disk.
Mohammad El-Ityan   +4 more
semanticscholar   +1 more source

On Coefficient Inequalities of Certain Subclasses of Bi-Univalent Functions Defined Using q-Differential Operator Involving q-Poisson Distribution

Journal of Advances in Mathematics and Computer Science
In this research paper, a new subclass of bi-univalent and analytic functions on unit disc \(\Delta\) = {z \(\in\) \(\mathbb{C}\) : |z| < 1} is defined. The zero-truncated Poisson distribution function and q-differential operator are used to define this ...
Ranjan S. Khatu   +2 more
semanticscholar   +1 more source

Applications of $ q- $Ultraspherical polynomials to bi-univalent functions defined by $ q- $Saigo's fractional integral operators

AIMS Mathematics
This study established upper bounds for the second and third coefficients of analytical and bi-univalent functions belonging to a family of particular classes of analytic functions utilizing $ q- $Ultraspherical polynomials under $ q- $Saigo's fractional
T. Al-Hawary   +5 more
semanticscholar   +1 more source

Initial Coefficient Bounds Analysis for Novel Subclasses of Bi-Univalent Functions Linked with Lucas-Balancing Polynomials

Mathematics
We investigate some subclasses of regular and bi-univalent functions in the open unit disk that are associated with Lucas-Balancing polynomials in this work.
S. R. Swamy   +5 more
semanticscholar   +1 more source

Certain subclasses of bi-univalent functions connected with polylogarithm function

Journal of Interdisciplinary Mathematics
We introduce and examine certain bi-univalent functions subclasses connected polylogarithm function. The convolution of two well-known differential operators define the new differential operator. By utilizing the new differential operator Qnδ,λ we provide some new bi-univalent subclasses and estimate the basic coefficients |a2| and |a3|.
T. Stalin   +3 more
openaire   +1 more source

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