Results 31 to 40 of about 4,250 (145)
Periodic attractors of perturbed one-dimensional maps [PDF]
, 2013 In this paper we investigate how many periodic attractors maps in a small neighbourhood of a given map can have. For this purpose we develop new tools which help to make uniform cross-ratio distortion estimates in a neighbourhood of a map with degenerate
Kozlovski, O.
core +2 more sources
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 This study, using the extended simplest method of equation, examines the explicit movement solutions of both the Schwarzian Korteweg‐de Vries (SKdV) and (2 + 1)‐Ablowitz‐Kaup‐Newell‐Segur (AKNS.) equation. These models show the movement of the waves in optical fiber mathematically.
S. H. Alfalqi +4 more
wiley +1 more source
The Schwarzian derivative and univalent functions [PDF]
Proceedings of the American Mathematical Society, 1972 In this paper we prove under certain conditions the function w = f ( z ) w = f(z) is univalent in | z | > 1 |z| > 1 .
Ozaki, Shigeo, Nunokawa, Mamoru
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On Coefficient Estimates for a Certain Class of Analytic Functions
Mathematics, 2022 In this paper, we consider a subclass SQ of normalized analytic functions f satisfying ℜf′(z)>1/2. For the functions in the class SQ, we determine upper bounds for a number of coefficient estimates, among which are initial coefficients, the second Hankel
Dorina Răducanu
doaj +1 more source
The Norm Estimates of Pre-Schwarzian Derivatives of Spirallike Functions and Uniformly Convex $alpha$-spirallike Functions [PDF]
Sahand Communications in Mathematical Analysis, 2018 For a constant $alphain left(-frac{pi}{2},frac{pi}{2}right)$, we definea subclass of the spirallike functions, $SP_{p}(alpha)$, the setof all functions $fin mathcal{A}$[releft{e^{-ialpha}frac{zf'(z)}{f(z)}right}geqleft|frac{zf'(z)}{f(z)}-1right|.]In ...
Zahra Orouji, Rasul Aghalary
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On Becker's univalence criterion [PDF]
, 2017 We study locally univalent functions $f$ analytic in the unit disc $\mathbb{D}$ of the complex plane such that $|{f"(z)/f'(z)}|(1-|z|^2)\leq 1+C(1-|z|)$ holds for all $z\in\mathbb{D}$, for some ...
Huusko, Juha-Matti, Vesikko, Toni
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Maximal chaos from strings, branes and Schwarzian action
Journal of High Energy Physics, 2019 In this article, we explicitly demonstrate that, for a sufficiently generic class of examples, an open string embedded in an AdS-background yields an effective Schwarzian action and, in the semi-classical description, the fluctuation modes of the open ...
Avik Banerjee +2 more
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Injectivity and the pre-Schwarzian derivative. [PDF]
Michigan Mathematical Journal, 1998 Let \(D\) be a simply connected domain in the complex plane, other than the plane itself and \(\rho_D|dz|\) be the hyperbolic metric of \(D\). The inner radius of injectivity \(\tau(D)\) is defined as the supremum of all numbers \(c\geq 0\) such that every analytic function \(f\) in \(D\) satisfying the bound \(|f''/f' |\leq c\rho_D\) is injective. The
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Schwarzian Derivative Criteria for Valence of Analytic and Harmonic Mappings
, 2007 For analytic functions in the unit disk, general bounds on the Schwarzian derivative in terms of Nehari functions are shown to imply uniform local univalence and in some cases finite and bounded valence.
Chuaqui, M., Duren, P., Osgood, B.
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Steady States, Thermal Physics, and Holography
Advances in High Energy Physics, Volume 2019, Issue 1, 2019., 2019 It is well known that a Rindler observer measures a nontrivial energy flux, resulting in a thermal description in an otherwise Minkowski vacuum. For systems consisting of large number of degrees of freedom, it is natural to isolate a small subset of them and engineer a steady state configuration in which these degrees of freedom act as Rindler ...
Arnab Kundu, Cynthia Keeler
wiley +1 more source