Results 11 to 20 of about 1,015 (194)
Results on BI-univalent Functions [PDF]
When the class σ \sigma of bi ...
Styer, D., Wright, D. J.
openaire +2 more sources
A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions
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
Ala Amourah +5 more
openaire +2 more sources
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
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
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
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
Coefficient estimates for families of bi-univalent functions defined by Ruscheweyh derivative operator [PDF]
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
On the class of bi-univalent functions
In an attempt to answer the question raised by A.W. Goodman, we obtain a covering theorem, a distortion theorem, a growth theorem, the radius of convexity and an argument estimate of f
Sivasubramanian, Srikandan +3 more
openaire +1 more source
Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]
The Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe +3 more
doaj +1 more source
Estimates of Coefficients for Bi-Univalent Functions in the Subclass H_∑ (n,γ,φ)
Considering that finding the bounds for the coefficients of the Taylor-Maclaurin series expansion of bi-univalent functions is one of the important subjects in geometric function theory that has attracted the attention of many researchers in the last ...
Khalid I. Abdullah , Nafya H. Mohammed
doaj +1 more source

