Results 1 to 10 of about 24,583 (335)

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.
A. Amourah, A. Alsoboh, O. Ogilat, G. Gharib, Rania Saadeh, Maha Al Soudi   +5 more
semanticscholar   +1 more source

Sharp Bounds of the Fekete–Szegö Problem and Second Hankel Determinant for Certain Bi-Univalent Functions Defined by a Novel q-Differential Operator Associated with q-Limaçon Domain

Fractal and Fractional, 2023
In this present paper, we define a new operator in conjugation with the basic (or q-) calculus. We then make use of this newly defined operator and define a new class of analytic and bi-univalent functions associated with the q-derivative operator ...
T. G. Shaba, S. Araci, B. O. Adebesin, Fairouz Tchier, Saira Zainab, B. Khan   +5 more
semanticscholar   +1 more source

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.
T. Al-Hawary, A. Amourah, A. Alsoboh, O. Alsalhi   +3 more
semanticscholar   +1 more source

Partial sums and inclusion relations for analytic functions involving (p, q)-differential operator

Open Mathematics, 2021
Let fk(z)=z+∑n=2kanzn{f}_{k}\left(z)=z+{\sum }_{n=2}^{k}{a}_{n}{z}^{n} be the sequence of partial sums of the analytic function f(z)=z+∑n=2∞anznf\left(z)=z+{\sum }_{n=2}^{\infty }{a}_{n}{z}^{n}.
Tang Huo, Vijaya Kaliappan, Murugusundaramoorthy Gangadharan, Sivasubramanian Srikandan   +3 more
doaj   +1 more source

Coefficients and Fekete–Szegö Functional Estimations of Bi-Univalent Subclasses Based on Gegenbauer Polynomials

Mathematics, 2023
Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
semanticscholar   +1 more source

Exploiting the Pascal Distribution Series and Gegenbauer Polynomials to Construct and Study a New Subclass of Analytic Bi-Univalent Functions

Symmetry, 2022
In the present analysis, we aim to construct a new subclass of analytic bi-univalent functions defined on symmetric domain by means of the Pascal distribution series and Gegenbauer polynomials.
A. Amourah, B. Frasin, Morad Ahmad, F. Yousef   +3 more
semanticscholar   +1 more source

Coefficient Estimates and the Fekete–Szegö Problem for New Classes of m-Fold Symmetric Bi-Univalent Functions

Mathematics, 2022
The results presented in this paper deal with the classical but still prevalent problem of introducing new classes of m-fold symmetric bi-univalent functions and studying properties related to coefficient estimates.
G. Oros, L. Cotîrlă
semanticscholar   +1 more source

Initial Coefficient Bounds for interesting Subclasses of Meromorphic and and Bi-Univalent Functions [PDF]

Journal of Mahani Mathematical Research, 2022
In this paper, we investigate an interesting subclass of univalent functions. Also, we introduce a new subclass of meromorphic bi-univalent functions. We obtain the estimates on the initial Taylor-Maclurin Coefficients for functions in the interesting ...
Hormoz Rahmatan, Shahram Najafzadeh, Hakimeh Haji   +2 more
doaj   +1 more source

Estimates for Coefficients of Bi-Univalent Functions Associated with a Fractional q-Difference Operator

Symmetry, 2022
In the present paper, we discuss a class of bi-univalent analytic functions by applying a principle of differential subordinations and convolutions.
E. Amini, Shrideh K. Al-Omari, K. Nonlaopon, D. Baleanu   +3 more
semanticscholar   +1 more source

Results on Univalent Functions Defined by q-Analogues of Salagean and Ruscheweh Operators

Symmetry, 2022
In this paper, we define and discuss properties of various classes of analytic univalent functions by using modified q-Sigmoid functions. We make use of an idea of Salagean to introduce the q-analogue of the Salagean differential operator.
E. Amini, M. Fardi, S. Al-Omari, K. Nonlaopon   +3 more
semanticscholar   +1 more source