Results 51 to 60 of about 5,311 (200)

On Convex Univalent Functions with Convex Univalent Derivatives

open access: yesRocky Mountain Journal of Mathematics, 2005
The authors studied the functions \[ \sum_{k=0}^{\infty}a_{k}\dfrac{(1+z)^k}{k!}, \] for \(a_{0}\geq a_{1}\geq...\geq 0\). They showed that these functions are either constant or convex univalent in the unit disk \(D\). The work is inspired by \textit{T. J.
Ruscheweyh, Stephan, Salinas, Luis
openaire   +3 more sources

Subclass of bi-univalent function associated to Chebyshev polynomial

open access: yes, 2022
The Chebyshev polynomials are utilized in this study to define the subclass of the bi-univalent function. Also, Chebyshev polynomial bounds and Fekete-Szego inequalities for functions defined in the classes are established.Comment: 7 ...
Birajdar, G. M., Sangle, N. D.
core  

The second coefficient of a function with all derivatives univalent [PDF]

open access: yes, 1982
We consider the second coefficient of a class of functions, univalent and normalized, and with all derivatives univalent in the unit disk D, and improve on a known result.
A. Sathaye, S. M. Shah
core   +1 more source

Basic properties of analytical univalent function classes

open access: yes, 1996
Bu çalışma üç bölümden oluşmaktadır. Birinci bölümde, diğer iki bölümde kullanılacak olan baza temel kavram ve teoremler verildi. İkinci bölümde, E = { z : | z j 1 } da analitik, univalent fonksiyonlar için alan teoremi ve bu teorem yardımıyla S' deki ...
Yalçın, Sibel
core   +2 more sources

A new Steiner symmetrization defined by a subclass of analytic function in a complex domain

open access: yesFrontiers in Applied Mathematics and Statistics
In this effort, we present a new definition of the Steiner symmetrization by using special analytic functions in a complex domain (the open unit disk) with respect to the origin.
Ibtehal Alazman, Rabha W. Ibrahim
doaj   +1 more source

Coefficient inequalities for new subclasses of bi-univalent functions defined by using the function δ

open access: yes, 2022
© 2022 World Scientific Publishing Company.In this investigation, we introduce and study two new subclasses of bi-univalent functions defined by using the function f and Salagean differential operator.
Sağsöz, Fatma, Orhan, Halit
core   +1 more source

Radius problems for a subclass of close-to-convex univalent functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
Let P[A,B], −1≤Bβ, 0 ...
Khalida Inayat Noor
doaj   +1 more source

Certain Inequalities for a General Class of Analytic and Bi-univalent Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are ...
Arzu Akgul
doaj   +1 more source

On Littlewood’s conjecture for univalent functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1982
The uniform asymptotic theory of functionals on S S is investigated. We prove that Littlewood’s conjecture is equivalent to
openaire   +2 more sources

The Univalent Function Created by the Meromorphic Functions Where Defined on the Period Lattice [PDF]

open access: yes, 2019
The function $ \xi(z)$ is obtained from the logarithmic derivative function  $\sigma(z)$. The elliptic function $ \wp(z) $ is also derived from the $ \xi(z) $ function.
Hasan SAHİN   +3 more
core   +1 more source

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