The entropy of chaotic transitions of EEG phase growth in bipolar disorder with lithium carbonate [PDF]
Scientific Reports, 2021 The application of chaos measures the association of EEG signals which allows for differentiating pre and post-medicated epochs for bipolar patients. We propose a new approach on chaos necessary for proof of EEG metastability.
Rüştü Murat Demirer, Sermin Kesebir
doaj +2 more sources
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
doaj +3 more sources
On the Families of Hyperbolic Derivatives with the Quasi-L ̈owner Dynamics of Pre-Schwarzians [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The dynamics of the critical point set for the hyperbolic derivatives of the family of holomorphic functions in the unit disk with pre-Schwarzians satisfying the equation of the quasi-L wner type is studied.
A.V. Kazantsev
doaj +1 more source
Nehari’s univalence criteria, pre-Schwarzian derivative and applications [PDF]
Indian Journal of Pure and Applied Mathematics, 2021 13 pages, 3 figures, Indian J. Pure Appl. Math. (to appear)
Agrawal, Sarita, Sahoo, Swadesh Kumar
openaire +3 more sources
Subordinations and Norm Estimates for Functions Associated with Ma-Minda Subclasses
Mathematics, 2022 For a function p analytic in the open unit disc and satisfying p(0)=1, we prove certain subordination implications of the first order differential subordination 1+zp′(z)≺1+Mz, which provides sufficient conditions for a function to belong to various ...
Aaisha Farzana Habibullah +2 more
doaj +1 more source
HARMONIC MAPPINGS WITH THE FIXED ANALYTIC PART
Проблемы анализа, 2021 In this article, we consider a class of sense-preserving harmonic mappings whose analytic part is convex in one direction. We prove that functions in this class are close-to-convex for certain values of parameters.
Rajbala, Jugal K. Prajapat
doaj +1 more source
Pre-Schwarzian and Schwarzian Derivatives of Harmonic Mappings [PDF]
The Journal of Geometric Analysis, 2013 In this paper we introduce a definition of the pre-Schwarzian and the Schwarzian derivatives of any locally univalent harmonic mapping $f$ in the complex plane without assuming any additional condition on the (second complex) dilatation $ _f$ of $f$.
Hernández, Rodrigo, Martín, María J.
openaire +3 more sources
Radius problems associated with pre-Schwarzian and Schwarzian derivatives [PDF]
Analysis, 2014 8 pages, submitted to a ...
Ponnusamy, S., Sahoo, S. K., Sugawa, T.
openaire +2 more sources
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
openaire +2 more sources
NORM ESTIMATES OF THE PRE-SCHWARZIAN DERIVATIVES FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS [PDF]
Proceedings of the Edinburgh Mathematical Society, 2006 AbstractA sharp norm estimate will be given to the pre-Schwarzian derivatives of close-to-convex functions of specified type. In order to show the sharpness, we introduce a kind of maximal operator which may be of independent interest. We also discuss a relation between the subclasses of close-to-convex functions and the Hardy spaces.
Kim, Yong Chan, Sugawa, Toshiyuki
openaire +2 more sources