Results 11 to 20 of about 2,637,288 (262)

Coefficient Bounds and Fekete–Szegö Inequalities for a Two Families of Bi-Univalent Functions Related to Gegenbauer Polynomials

open access: yesAxioms, 2023
The purpose of this article is to introduce and study certain families of normalized certain functions with symmetric points connected to Gegenbauer polynomials.
Yahya Almalki   +4 more
doaj   +1 more source

Development of Novel Subclasses for Bi-Univalent Functions

open access: yesASM Science Journal, 2021
This manuscript presents the development of new subclasses for bi-univalent functions and the subclasses are closely related to Chebyshev polynomials having Al-Oboudi differential operator.
MUNIRAH ROSSDY   +2 more
doaj   +1 more source

Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator

open access: yesFractal and Fractional, 2023
This article defines a new operator called the q-Babalola convolution operator by using quantum calculus and the convolution of normalized analytic functions in the open unit disk.
Isra Al-shbeil   +2 more
doaj   +1 more source

Initial Coefficients Upper Bounds for Certain Subclasses of Bi-Prestarlike Functions

open access: yesAxioms, 2023
In this article, we introduce and study the behavior of the modules of the first two coefficients for the classes NΣ(γ,λ,δ,μ;α) and NΣ*(γ,λ,δ,μ;β) of normalized holomorphic and bi-univalent functions that are connected with the prestarlike functions.
Tareq Hamadneh   +5 more
doaj   +1 more source

Coefficient estimates for families of bi-univalent functions defined by Ruscheweyh derivative operator [PDF]

open access: yesMathematica Moravica, 2021
The main purpose of this manuscript is to find upper bounds for the second and third Taylor-Maclaurin coefficients for two families of holomorphic and bi-univalent functions associated with Ruscheweyh derivative operator.
Bulut Serap, Kareem Wanas Abbas
doaj   +1 more source

Inclusion and properties neighbourhood for certain p-valent functions associated with complex order and q–p-valent Cătaş operator

open access: yesJournal of Taibah University for Science, 2020
Here in our paper, we present two new subclasses of multivalent analytic functions and complex order by using q–p-valent Cătaş operator. Also we obtain coefficient estimates and consequent inclusion relationships involving the $N_{i,\delta }^{\mathbf {p}
M. K. Aouf, S. M. Madian
doaj   +1 more source

Coefficient estimates for Ruscheweyh derivatives

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We consider functions f, analytic in the unit disc and of the normalized form f(z)=z+∑n=2∞anzn. For functions f∈R¯δ(β), the class of functions involving the Ruscheweyh derivatives operator, we give sharp upper bounds for the Fekete-Szegö functional |a3 ...
Maslina Darus, Ajab Akbarally
doaj   +1 more source

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

open access: yesMathematics, 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.
Georgia Irina Oros   +1 more
doaj   +1 more source

On Coefficient Estimates for a Certain Class of Analytic Functions

open access: yesMathematics, 2022
In this paper, we consider a subclass SQ of normalized analytic functions f satisfying ℜf′(z)>1/2. For the functions in the class SQ, we determine upper bounds for a number of coefficient estimates, among which are initial coefficients, the second Hankel
Dorina Răducanu
doaj   +1 more source

Coefficient Estimates of New Families of Analytic Functions Associated with q-Hermite Polynomials

open access: yesAxioms, 2023
In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients υ2, υ3, and υ4 of the Taylor–Maclaurin series and that of the Fekete–Szegö ...
Isra Al-Shbeil   +3 more
doaj   +1 more source

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