Results 41 to 50 of about 10,269,497 (359)
On a class of univalent functions
Applied Mathematics Letters, 2012 AbstractLet A be the class of analytic functions in the unit disk D with the normalization f(0)=f′(0)−1=0. Denote by N the class of functions f∈A which satisfy the condition |−z3(zf(z))‴+f′(z)(zf(z))2−1|≤1,z∈D. We show that functions in N are univalent in D but not necessarily starlike.
Obradović, Milutin +1 more
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Initial Coefficients of Biunivalent Functions
Abstract and Applied Analysis, 2014 An analytic function f defined on the open unit disk is biunivalent if the function f and its inverse f-1 are univalent in 𝔻. Estimates for the initial coefficients of biunivalent functions f are investigated when f and f-1, respectively, belong to some ...
See Keong Lee +2 more
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Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$ [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, some conditions have been improved so that the function $g(z)$ is defined as $g(z)=1+\sum_{k\ge 2}^{\infty}a_{n+k}z^{n+k}$, which is analytic in unit disk $U$, can be in more specific subclasses of the $S$ class, which is the most ...
İsmet Yıldız +2 more
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Fekete–Szegö Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions
Mathematics, 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]
Proceedings 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.
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On the Existence of Functions being Univalent in Half-plane together with their Derivatives
Nonlinear Analysis, 2001 In articles [1]-[3] a class of functions being univalent in unit disc with all their derivatives was investigated. It was proved such functions exist and must be the entire functions of exponential type.
J. Kirjackis
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Symmetry, 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
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Fekete–Szegö Inequality for Bi-Univalent Functions Subordinate to Horadam Polynomials
Journal 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
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On a class of univalent functions [PDF]
International 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
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On the Univalence of Poly-analytic Functions [PDF]
Computational 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
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