Results 1 to 10 of about 2,065 (197)

Study of quantum calculus for a new subclass of bi-univalent functions associated with the cardioid domain [PDF]

open access: yesHeliyon
In this article, we make use of the concepts of subordination and the q-calculus theory to analyze a new class of analytic bi-univalent functions associated to the cardioid domain.
Khaled Matarneh   +4 more
doaj   +2 more sources

Coefficient Estimates for Initial Taylor-Maclaurin Coefficients for a Subclass of Analytic and Bi-Univalent Functions Defined by Al-Oboudi Differential Operator [PDF]

open access: yesThe Scientific World Journal, 2013
We introduce and investigate an interesting subclass 𝒩𝒫Σλ,δ(n,β;h) of analytic and bi-univalent functions in the open unit disk 𝕌. For functions belonging to the class 𝒩𝒫Σλ,δ(n,β;h), we obtain estimates on the first two Taylor-Maclaurin coefficients a2 ...
Serap Bulut
doaj   +2 more sources

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

open access: yesJournal 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   +2 more
doaj   +1 more source

THE FEKETE-SZEGO PROBLEMS FOR SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SIGMOID FUNCTION [PDF]

open access: yes, 2022
The purpose of this article is to introduce a new subclass of analytic and bi-univalent functions, in associated with sigmoid function and to investigate the upper bounds for |a2| and |a3|, where a2, a3 are the initial Taylor-Maclaurin coefficients ...
Caglar, Murat   +2 more
core   +1 more source

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

open access: yesMathematics, 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
doaj   +1 more source

Applications of q-derivative operator to subclasses of bi-univalent functions involving Gegenbauer polynomials

open access: yesApplied Mathematics in Science and Engineering, 2022
In recent years, using the idea of analytic and bi-univalent functions, many ideas have been developed by different well-known authors, but the using Gegenbauer polynomials along with certain bi-univalent functions is very rare in the literature.
Qiuxia Hu   +5 more
doaj   +1 more source

Faber polynomials estimates for bi-univalent functions of complex order involving q-derivative [PDF]

open access: yes, 2023
In this paper, we define a new subclass of bi-univalent functions of complex order  which is defined by subordination in the open unit disc D by using  operator. Furthermore, using the Faber polynomial expansions, we get upper bounds for the coefficients
Madian, S. M.   +2 more
core   +2 more sources

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

open access: yesFractal 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 ...
Timilehin Gideon Shaba   +5 more
doaj   +1 more source

Coefficient Estimates for Some Subclasses of m-Fold Symmetric Bi-univalent Functions Defined by Linear Operator [PDF]

open access: yes, 2021
 The articles introduces and investigates "two new subclasses of the bi-univalent functions ." These are analytical functions related to the m-fold symmetric function  and  .
Hussein , Dhirgam Allawy Hussein   +1 more
core   +2 more sources

Some Subclasses of Univalent and Bi-Univalent Functions Related to K-Fibonacci Numbers and Modified Sigmoid Function

open access: yesمجلة بغداد للعلوم, 2023
            This paper is interested in certain  subclasses of univalent and bi-univalent functions concerning  to shell- like curves connected with k-Fibonacci numbers involving modified Sigmoid activation function θ(t)=2/(1+e^(-t) ) ,t ≥0 in unit disk
Amal Madhi Rashid, Abdul Rahman S. Juma
doaj   +1 more source

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