Radial segments and conformal mapping of an annulus onto domains bounded by a circle and a k-circle

Tetsuo Inoue

Displaying similar documents to “Radial segments and conformal mapping of an annulus onto domains bounded by a circle and a k-circle”

An alternate proof of Hall's theorem on a conformal mapping inequality.

Balasubramanian, R., Ponnusamy, S. (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Integral presentations of deviations of de la Vallee Poussin right-angled sums

Vladimir I. Rukasov, Olga G. Rovenska (2009)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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We investigate approximation properties of de la Vallee Poussin right-angled sums on the classes of periodic functions of several variables with a high smoothness. We obtain integral presentations of deviations of de la Vallee Poussin sums on the classes $C_{β, \infty}^{m α}$ .

Monotone measures with bad tangential behavior in the plane

Robert Černý, Jan Kolář, Mirko Rokyta (2011)

Commentationes Mathematicae Universitatis Carolinae

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We show that for every $ε > 0$ , there is a set $A \subset ℝ^{2}$ such that $ℋ^{1} ⌞ A$ is a monotone measure, the corresponding tangent measures at the origin are not unique and $ℋ^{1} ⌞ A$ has the $1$ -dimensional density between $1$ and $3 + ε$ everywhere on the support.

Two-dimensional real symmetric spaces with maximal projection constant

Bruce Chalmers, Grzegorz Lewicki (2000)

Annales Polonici Mathematici

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Let V be a two-dimensional real symmetric space with unit ball having 8n extreme points. Let λ(V) denote the absolute projection constant of V. We show that $λ (V) \leq λ (V_{n})$ where $V_{n}$ is the space whose ball is a regular 8n-polygon. Also we reprove a result of [1] and [5] which states that $4 / π = λ (l ₂^{(2)}) \geq λ (V)$ for any two-dimensional real symmetric space V.

A geometric maximization problem

Aaron Melman (2013)

The Teaching of Mathematics

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Some Inequalities Related To Euler’s Theorem $R \geq 2 r$

L. Carlitz (1971)

Publications de l'Institut Mathématique

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On coloring the odd-distance graph.

Steinhardt, Jacob (2009)

The Electronic Journal of Combinatorics [electronic only]

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A note on octahedral spherical foldings.

d'Azevedo Breda, A.M. (1996)

Portugaliae Mathematica

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New Ramanujan-type formulas and quasi-Fibonacci numbers of order 7.

Wituła, Roman, Słota, Damian (2007)

Journal of Integer Sequences [electronic only]

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Additive groups connected with asymptotic stability of some differential equations

Árpád Elbert (1998)

Archivum Mathematicum

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The asymptotic behaviour of a Sturm-Liouville differential equation with coefficient $λ^{2} q (s), s \in [s_{0}, \infty)$ is investigated, where $λ \in ℝ$ and $q (s)$ is a nondecreasing step function tending to $\infty$ as $s \to \infty$ . Let $S$ denote the set of those $λ$ ’s for which the corresponding differential equation has a solution not tending to 0. It is proved that $S$ is an additive group. Four examples are given with $S = {0}$ , $S = ℤ$ , $S = 𝔻$ (i.e. the set of dyadic numbers), and $ℚ \subset S ⫋ ℝ$ .