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Subfamilies of Bi-Univalent Functions Associated with the Imaginary Error Function and Subordinate to Jacobi Polynomials

Symmetry
Numerous researchers have extensively studied various subfamilies of the bi-univalent function family utilizing special functions. In this paper, we introduce and investigate a new subfamily of bi-univalent functions, which is defined on the symmetric ...
A. Amourah   +3 more
semanticscholar   +1 more source

On the Third Hankel Determinant of a Certain Subclass of Bi-Univalent Functions Defined by (p,q)-Derivative Operator

Mathematics
In this study, the generalized (p,q)-derivative operator is used to define a novel class of bi-univalent functions. For this class, we define constraints on the coefficients up to |ℓ5|.
Mohammad El-Ityan   +5 more
semanticscholar   +1 more source

On a subclass of bi-univalent functions affiliated with bell and Gegenbauer polynomials

Boletim da Sociedade Paranaense de Matemática
This research paper explores the development of a novel class of analytic bi-univalent functions, leveraging the Bell polynomials along with the Gegenbauer polynomials as a fundamental component for establishing the new subclass.
Mohamed Illafe   +3 more
semanticscholar   +1 more source

Fekete-Szeg¨o and Second Hankel Determinant for a Certain Subclass of Bi-Univalent Functions associated with Lucas-Balancing Polynomials

International journal of neutrosophic science
In this paper, a new subclass of bi-univalent functions linked to Lucas-Balancing polynomials is introduced. Bounds for the coefficients in the Taylor-Maclaurin series, denoted as |a2| and |a3|, are determined for these functions.
Abdulmtalb Abdulmtalb   +2 more
semanticscholar   +1 more source

New classes of pseudo-type bi-univalent functions

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guney, H. Ozlem   +1 more
openaire   +1 more source

Third-Order Hankel Determinant for a Class of Bi-Univalent Functions Associated with Sine Function

Mathematics
This paper investigates a new subclass of bi-univalent analytic functions defined on the open unit disk in the complex plane, associated with the subordination to 1+sinz. Coefficient bounds are obtained for the initial Taylor–Maclaurin coefficients, with
Mohammad El-Ityan   +5 more
semanticscholar   +1 more source

On the Fractional q-Differintegral Operator for Subclasses of Bi-univalent Functions Subordinate to q-Ultraspherical Polynomials

European Journal of Pure and Applied Mathematics
In this paper, we introduce a novel class of bi-univalent functions using the fractional q-differintegral operator and q-ultraspherical polynomials. We examine the Taylor-Maclaurin coefficients |♭2| and |♭3| for functions in this new class.
Mamoon Ahmed   +3 more
semanticscholar   +1 more source

Coefficient bounds for a subclass of Bi-univalent functions

Acta Universitatis Apulensis, 2014
Summary: In the present investigation, we introduce two new subclasses \(ST_\Sigma(b,\phi)\) and \(CV_\Sigma(b,\phi)\) of bi-univalent functions defined in the open unit disc \(\mathbb U=\{z:| z|
Selvaraj, C.   +2 more
openaire   +2 more sources

Coefficient Estimates and Symmetry Analysis for Certain Families of Bi-Univalent Functions Defined by the q-Bernoulli Polynomial

Symmetry
In the present work, we define certain families, MΣμ,Υ,ℷ,q; x and NΣμ,Υ,ℷ,q; x, of normalized holomorphic and bi-univalent functions associated with Bazilevič functions and ℷ-pseudo functions involving the q-Bernoulli polynomial, which is defined by the ...
A. Wanas   +2 more
semanticscholar   +1 more source

Coefficient Estimates and Fekete-Szegö Inequality for a Certain New Subclass of Bi-Univalent Functions by Using Generalized Operator with Bernoulli Polynomials

Advances in Nonlinear Variational Inequalities
In this study, we have delineated a novel subclass  of  bi-univalent functions in the unit disk and established on the coefficients  also by using Bernoulli polynomials. Moreover, the Fekete-Szegö problem within this subclass has been resolved.  
Muhammed Salih Muhammed, Waggas Galıb
semanticscholar   +1 more source

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