Results 41 to 50 of about 10,343,403 (331)

An Investigation of the Third Hankel Determinant Problem for Certain Subfamilies of Univalent Functions Involving the Exponential Function

open access: yesSymmetry, 2019
In the current article, we consider certain subfamilies S e ∗ and C e of univalent functions associated with exponential functions which are symmetric along real axis in the region of open unit disk.
Lei Shi   +4 more
semanticscholar   +1 more source

Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using q-Chebyshev Polynomial and Hohlov Operator

open access: yesFractal and Fractional, 2022
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

Estimating coefficients for certain subclasses of meromorphic and bi-univalent functions

open access: yesJournal of Inequalities and Applications, 2018
In the present paper, we introduce two interesting subclasses of meromorphic and bi-univalent functions defined on Δ={z:z∈C ...
F. Müge Sakar
doaj   +1 more source

Fekete–Szegö Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions

open access: yesMathematics, 2022
In the current work, we introduce a special family of the function family of analytic and m-fold symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients |dm+1| and |d2m+1| for functions in the special family.
S. R. Swamy, B. Frasin, I. Aldawish
semanticscholar   +1 more source

A class of univalent functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1964
f'(0)= 1. In this paper we study the subclass denoted by F and defined by the condition If'(z) - Ij < 1 for I zj < 1.
openaire   +2 more sources

On a class of univalent functions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
We consider the class of univalent functions defined by the conditions f(z)/z ≠ 0 and |(z/f(z))′​′| ≤ α, |z| < 1, where f(z) = z + ⋯ is analytic in |z| < 1 and 0 < α ≤ 2.
Dinggong Yang, Jin-Lin Liu
openaire   +2 more sources

A new family of analytic functions associated with multiplier transformation

open access: yesScientific African, 2021
Some geometric properties of a certain univalent function in the unit disk are considered in this work and the results extend some known results in the literature.
M.O. Oluwayemi, Imran Faisal
doaj   +1 more source

Hankel Determinants for Univalent Functions Related to the Exponential Function

open access: yesSymmetry, 2019
Recently, two classes of univalent functions S e * and K e were introduced and studied. A function f is in S e * if it is analytic in the unit disk, f ( 0 ) = f ′ ( 0 ) − 1 = 0 and z f ′ ( z ) f ( z ) ≺ e z . On the other hand, g ∈ K e if and only if z g
P. Zaprawa
semanticscholar   +1 more source

Fekete–Szegö Inequality for Bi-Univalent Functions Subordinate to Horadam Polynomials

open access: yesJournal of Function Spaces, 2022
Making use of Horadam polynomials, we propose a special family of regular functions of the type g z
A. Shammaky, B. Frasin, S. R. Swamy
semanticscholar   +1 more source

On the Univalence of Poly-analytic Functions [PDF]

open access: yesComputational Methods and Function Theory, 2021
A continuous complex-valued function $F$ in a domain $D\subseteq\mathbf{C}$ is Poly-analytic of order $ $ if it satisfies $\partial^ _{\overline{z}}F=0.$ One can show that $F$ has the form $F(z)={\displaystyle\sum\limits_{0}^{n-1}}\overline{z}^{k}A_{k}(z)$, where each $A_k$ is an analytic function$.$ In this paper, we prove the existence of a Landau ...
Layan El Hajj, Zayid Abdulhadi
openaire   +3 more sources

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