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Faber polynomials in the theory of univalent functions
Introduction. The Faber polynomials play an important role in the theory of univalent functions. Grunsky [ l] succeeded in establishing a set of conditions for a given function which are necessary and in their totality sufficient for the uni valency of ...
M. Schiffer
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Derivatives of Faber Polynomials and Markov Inequalities
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On the leading coefficient of polynomials orthogonal over domains with corners
Let $G$ be the interior domain of a piecewise analytic Jordan curve without cusps. Let $\{p_n\}_{n=0}^\infty$ be the sequence of polynomials that are orthonormal over $G$ with respect to the area measure, with each $p_n$ having leading coefficient ...
Miña-Díaz, Erwin
core
A note on the zeros of Faber polynomials [PDF]
By an elementary counterexample we show that a conjecture about the zeros of the Faber polynomials is false.
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The bending problem of an infinitely large thin anisotropic plate with an elliptical or linear elastic inclusion inserted into a hole without initial tension and under perfect mechanical contact with the plate matrix is solved.
Andrii O. Koshkin, Olena O. Strelnikova
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Clifford Wavelet Entropy for Fetal ECG Extraction. [PDF]
Jallouli M +3 more
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The Faber polynomials for circular lunes
Let \(D_\alpha\) be the circular lune symmetric with respect to both axis with vertices at \(z = \pm \alpha\) and exterior angle \(\alpha \pi\), \(0 < \alpha \leq 2\). Let \(z = \psi (w) = w + \sum^\infty_{k = 0} b_k w^{-k}\) map \(\{w : |w |> 1\}\) conformally onto the exterior of \(D_\alpha\).
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Differential alterations of amygdala nuclei volumes in acutely ill patients with anorexia nervosa and their associations with leptin levels. [PDF]
Wronski ML +13 more
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Faber polynomials coefficients estimates for a certain subclass of Bazilevic functions
A. M. Lashin +2 more
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