Results 191 to 200 of about 5,934,786 (218)

A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions

Axioms, 2023
Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials. For functions falling within these subclasses, coefficient bounds a2 and a3 as well as Fekete–Szegö inequalities are derived. Specializing the parameters used in our main results leads
Gharib Gharib, Ala Amourah, Abdullah Alsoboh   +2 more
exaly   +3 more sources

Certain subclasses of analytic and bi-univalent functions

Applied Mathematics Letters, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Priyabrat Gochhayat, A K Mishra, H M Srivastava   +2 more
exaly   +4 more sources

Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator

Mathematics, 2020
Let Ω denote the class of functions f ( z ) = z + a 2 z 2 + a 3 z 3 + ⋯ belonging to the normalized analytic function class A in the open unit disk U = z : z < 1 , which are bi-univalent in U , that ...
Basem Aref Frasin, Tariq Al-Hawary, Ibtisam Aldawish   +2 more
exaly   +2 more sources

A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials

Symmetry, 2023
In the current study, we provide a novel qualitative new subclass of analytical and bi-univalent functions in the symmetry domain U defined by the use of Gegenbauer polynomials.
Ala Amourah, Tariq Al-Hawary, Abdullah Alsoboh   +2 more
exaly   +2 more sources

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Subclasses of bi-univalent functions subordinate to gegenbauer polynomials

Afrika Matematika, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ala Amourah, Zabidin Salleh, B. A. Frasin, Muhammad Ghaffar Khan, Bakhtiar Ahmad   +4 more
openaire   +2 more sources

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., Kumar, T. R. K., Thirupathi, G.   +2 more
openaire   +2 more sources

New classes of bi-univalent functions

Journal of Interdisciplinary Mathematics, 2020
This paper tends to investigate a few new subclasses of bi-univalent functions H(v, λ, n) as well as G(v, ξ, n) in an open disc U of unit length.
Murli Manohar Gour, Sunil Joshi, Pranay Goswami, S. D. Purohit   +3 more
openaire   +1 more source

Certain Subclasses of Meromorphically Bi-Univalent Functions

Bulletin of the Malaysian Mathematical Sciences Society, 2016
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Sim, Young Jae, Kwon, Oh Sang
openaire   +2 more sources

ON SOME CLASSES OF BI-UNIVALENT FUNCTIONS

1988
Let S denote the class of all functions \(f(z)=z+a_ 2z^ 2+a_ 3z^ 3+..\). which are analytic and univalent in the unit disc \(U=\{z:| z|
Brannan, D. A., Taha, T. S.
openaire   +2 more sources

On the Coefficients of Several Classes of Bi-Univalent Functions

Acta Mathematica Scientia, 2014
Abstract In this paper, we investigate the bounds of the coefficients of several classes of bi-univalent functions. The results presented in this paper improve or generalize the recent works of other authors.
Zhigang Peng
exaly   +2 more sources