Results 21 to 30 of about 1,251 (79)
Notes on the norm of pre-Schwarzian derivatives of certain analytic functions [PDF]
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Summary: In this paper, we study the criterion for univalence, quasiconformal extensions and inner radius of univalence for locally univalent analytic and harmonic mappings in the complex plane. For locally univalent analytic functions in the unit disk, we give a sufficient condition for univalence and quasiconformal extensions by pre-Schwarzian ...
Hu, Zhenyong +2 more
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Cosmology and the Korteweg-de Vries Equation
The Korteweg-de Vries (KdV) equation is a non-linear wave equation that has played a fundamental role in diverse branches of mathematical and theoretical physics. In the present paper, we consider its significance to cosmology.
A. C. Scott +7 more
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HARMONIC MAPPINGS RELATED TO FUNCTIONS WITH BOUNDED BOUNDARY ROTATION AND NORM OF THE PRE-SCHWARZIAN DERIVATIVE [PDF]
Let S 0 be the class of normalized univalent harmonic map- pings in the unit disk. A subclass V H (k) of S 0 , whose analytic part is function with bounded boundary rotation, is introduced. Some bounds for functionals, specially harmonic pre-Schwarzian derivative, described in V H (k) are given.
Stanis lawa Kanas, Dominika Klimek-Smet
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The norm of pre-Schwarzian derivative on subclasses of bi-univalent functions
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Shalini Rana +2 more
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Geometric Poisson brackets on Grassmannians and conformal spheres [PDF]
In this paper we relate the geometric Poisson brackets on the Grassmannian of 2-planes in R^4 and on the (2,2) Moebius sphere. We show that, when written in terms of local moving frames, the geometric Poisson bracket on the Moebius sphere does not ...
Beffa, G. Mari, Eastwood, M.
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The multipliers of periodic points in one-dimensional dynamics
It will be shown that the smooth conjugacy class of an $S-$unimodal map which does not have a periodic attractor neither a Cantor attractor is determined by the multipliers of the periodic orbits.
Blokh A M +11 more
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Coxeter's frieze patterns and discretization of the Virasoro orbit [PDF]
We show that the space of classical Coxeter's frieze patterns can be viewed as a discrete version of a coadjoint orbit of the Virasoro algebra. The canonical (cluster) (pre)symplectic form on the space of frieze patterns is a discretization of the ...
Ovsienko, Valentin, Tabachnikov, Serge
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Synchronization in discrete-time networks with general pairwise coupling
We consider complete synchronization of identical maps coupled through a general interaction function and in a general network topology where the edges may be directed and may carry both positive and negative weights. We define mixed transverse exponents
Atay, Fatihcan M. +2 more
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Analytic Besov functions, pre-Schwarzian derivatives, and integrable Teichmüller spaces
We consider the embedding of integrable Teichmüller spaces $T_p$ into analytic Besov spaces by using pre-Schwarzian derivatives. Unlike the case of the Bers embedding by Schwarzian derivatives, there is a big difference between the cases $p>1$ and $p=1$. In this paper, we focus on the case $p=1$ and generalize the previous results obtained for $p>
Matsuzaki, Katsuhiko, Wei, Huaying
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