Results 41 to 50 of about 10,555,595 (364)
Applications of q-Hermite Polynomials to Subclasses of Analytic and Bi-Univalent Functions
In mathematics, physics, and engineering, orthogonal polynomials and special functions play a vital role in the development of numerical and analytical approaches.
Caihuan Zhang +5 more
semanticscholar +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
The q-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the q-derivative operator are highlighted and explained in this research.
Isra Al-shbeil +2 more
semanticscholar +1 more source
On the Univalence Criterion of a General Integral Operator
In this paper we considered an general integral operator and three classes of univalent functions for which the second order derivative is equal to zero.
H. Özlem Güney, Daniel Breaz
doaj +2 more sources
Remark on functions with all derivatives univalent
An attractive conjecture is discounted for the class of normalized univalent functions whose derivatives are also univalent.
M. Lachance
doaj +1 more source
On convolutions of slanted half-plane mappings
The convolution of convex harmonic univalent functions in the unit disk, unlike analytic functions, may not be convex or even univalent. The main purpose of this work is to develop previous work involving the convolution of convex harmonic functions ...
Elif Yaşar
doaj +1 more source
The present paper introduces a new class of bi-univalent functions defined on a symmetric domain using Gegenbauer polynomials. For functions in this class, we have derived the estimates of the Taylor–Maclaurin coefficients, a2 and a3, and the Fekete ...
Mohamed Illafe, A. Amourah, M. Mohd
semanticscholar +1 more source
Univalent functions maximizing Re[f(ζ1)+f(ζ2)]
We study the problem maxh∈Sℜ[h(z1)+h(z2)] with z1,z2 in Δ. We show that no rotation of the Koebe function is a solution for this problem except possibly its real rotation, and only when z1=z¯2 or z1,z2 are both real, and are in a neighborhood of the x ...
Intisar Qumsiyeh Hibschweiler
doaj +1 more source
Applications of (M,N)-Lucas Polynomials on a Certain Family of Bi-Univalent Functions
In the current article, making use of certain operator, we initiate and explore a certain family WΣ(λ,γ,σ,δ,α,β,p,q;h) of holomorphic and bi-univalent functions in the open unit disk D.
A. Wanas, Luminiţa-Ioana Cotîrlǎ
semanticscholar +1 more source
Nonvanishing Meromorphic Univalent Functions [PDF]
This note studies the best constants s s such that the function k ( z ) = z + 2 + 1 / z k(z) = z + 2 + 1/z solves the linear coefficient problems max Re { s
Abu-Muhanna, Yusuf, Schober, Glenn
openaire +2 more sources

