Results 51 to 60 of about 270 (181)
Radius Constants for Functions with the Prescribed Coefficient Bounds
Abstract and Applied Analysis, 2014 For an analytic univalent function f(z)=z+∑n=2∞anzn in the unit disk, it is well-known that an≤n for n≥2. But the inequality an≤n does not imply the univalence of f.
Om P. Ahuja +2 more
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Coefficient Inequalities Related With Apple‐Like Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Several subfamilies of Ma and Minda starlike and convex functions have been examined differently through individual generating functions in the literature. However, little or no effort has been devoted to subfamily arising from the product of these generating functions.
Aiman Sana +3 more
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Univalence of certain integral operators
International Journal of Mathematics and Mathematical Sciences, 2000 We study some integral operators and determine conditions for the univalence of these integral operators.
Virgil Pescar, Shigeyoshi Owa
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Quasiconformal extension for harmonic mappings on finitely connected domains
Comptes Rendus. Mathématique, 2021 We prove that a harmonic quasiconformal mapping defined on a finitely connected domain in the plane, all of whose boundary components are either points or quasicircles, admits a quasiconformal extension to the whole plane if its Schwarzian derivative is ...
Efraimidis, Iason
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On the dimension of the boundaries of attracting basins of entire maps
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Let f:C→C$f:\mathbb{C}\to \mathbb{C}$ be a transcendental entire map from the Eremenko–Lyubich class B$\mathcal {B}$, and let ζ$\zeta$ be an attracting periodic point of period p$p$. We prove that the boundaries of components of the attracting basin of (the orbit of) ζ$\zeta$ have hyperbolic (and, consequently, Hausdorff) dimension larger than
Krzysztof Barański +4 more
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Prestarlike functions with negative coefficients
International Journal of Mathematics and Mathematical Sciences, 1979 The extreme points for prestarlike functions having negative coefficients are determined. Coefficient, distortion and radii of univalence, starlikeness, and convexity theorems are also obtained.
H. Silverman, E. M. Silvia
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Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT As part of the efforts aimed at extending Painlevé and Gambier's work on second‐order equations in one variable to first‐order ones in two, in 1981, Bureau classified the systems of ordinary quadratic differential equations in two variables which are free of movable critical points (which have the Painlevé Property).
Adolfo Guillot
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Univalence of Certain Linear Operators Defined by Hypergeometric Function
Journal of Inequalities and Applications, 2009 The main object of the present paper is to investigate univalence and starlikeness of certain integral operators, which are defined here by means of hypergeometric functions.
R. Aghalary, A. Ebadian
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Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract Let φ$\varphi$ be a univalent non‐elliptic self‐map of the unit disc D$\mathbb {D}$ and let (ψt)$(\psi _{t})$ be a continuous one‐parameter semigroup of holomorphic functions in D$\mathbb {D}$ such that ψ1≠idD$\psi _{1}\ne {\sf id}_\mathbb {D}$ commutes with φ$\varphi$.
Manuel D. Contreras +2 more
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On radii of starlikeness and convexity for convolutions of starlike functions
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper, we obtain the radiuses of univalence, starlikeness and convexity for convolutions of starlike functions.
Yi Ling, Shusen Ding
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