Results 91 to 100 of about 11,980 (190)
The Faber polynomials for circular lunes
Computers & Mathematics with Applications, 1995 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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Optimizing Resources and Increasing the Coverage of Internet-of-Things (IoT) Networks: An Approach Based on LoRaWAN. [PDF]
Sensors (Basel), 2023 Gava MA +5 more
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On faber polynomials and faber expansions
Mathematische Zeitschrift, 1967 POMMERENKE, CH., Kövari, T.
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Pleijel's theorem for Schr\"odinger operators with radial potentials
, 2016 In 1956 $\AA$. Pleijel gave his celebrated theorem showing that the inequality in Courant's theorem on the number of nodal domains is strict for large eigenvalues of the Laplacian.
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The Faber polynomials for m-fold symmetric domains
Journal of Computational and Applied Mathematics, 1994 Let \(E\) be a compact continuum in \(\mathbb{C}\), and let \(z= \psi(w)= w+ b_ 0+ {b_ 1\over w}+ {b_ 2\over w^ 2}+\cdots\) be the normalized conformal map from \(\{w: | w|> \rho\}\) onto the complement of \(E\). The Faber polynomials \(F_ n\) associated with \(E\) can be computed recursively if the \(b_ j\) are known. In the case that \(E\) is bounded
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Complex function solution for deformation and failure mechanism of inclined coal seam roadway. [PDF]
Sci Rep, 2022 Xiong X, Dai J, Xinnian C, Ouyang Y.
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Some properties of Faber-Walsh polynomials
, 2013 Walsh introduced a generalisation of Faber polynomials to certain compact sets which need not be connected. We derive several equivalent representations of these Faber-Walsh polynomials, analogous to representations of Faber polynomials. Some simple asymptotic properties of the Faber-Walsh polynomials on the complement of the compact set are ...
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Explicit Representations of Faber Polynomials form-Cusped Hypocycloids
Journal of Approximation Theory, 1996 This is a continuation of an earlier study by the same author and \textit{E. B. Saff} [J. Approximation Theory 78, No. 3, 410-432 (1994; Zbl 0814.41006)]. Let \(H_m\) denote the hypocycloid generated by the function \(\psi(w)= w+(m-1)^{-1} w^{1-m}\), \(m=2,3, \dots\) and let \(F_n(z)\) be the Faber polynomial of degree \(n\) associated with \(H_m\). By
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Experimental validation of a recently developed model for single-fiber reflectance spectroscopy. [PDF]
J Biomed Opt, 2021 Post AL +3 more
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Studies in Faber polynomials. I [PDF]
Transactions of the American Mathematical Society, 1960 openaire +2 more sources