Results 161 to 170 of about 11,980 (190)

On the Distribution of Zeros of Faber Polynomials

Computational Methods and Function Theory, 2011
From the introduction: Let \(K\) be a compact subset of the complex plane containing more than one point whose complement \(\Omega =: \overline{\mathbb{C}} \setminus K \) is a simply connected domain. Denote by \(\Psi: \mathbb D^{*} \to \Omega\), the Riemann conformal mapping from \(\mathbb D^{*} : = \{w \in \overline{\mathbb{C}} \,: |w| > 1 \}\) onto \
Andrievskii, Vladimir V., Blatt, Hans-Peter   +1 more
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Application of Faber Polynomials in Proving Combinatorial Identities

Ukrainian Mathematical Journal, 2018
Suppose \(K\) is a compact subset of \(\mathbb C\) containing at least \(2\) points. If the complement of \(K\) in the Riemann sphere \(\overline{\mathbb C}=\mathbb C\cup\{\infty\}\) is simply connected, then the Riemann mapping theorem guarantees that there exists a unique biholomorphic map \(\Phi:\overline{\mathbb C}\setminus K\to\{w\in\overline ...
Abdullaev, F. G., Imash-kyzy, M., Savchuk, V. V.   +2 more
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d-Orthogonal Faber polynomials

Integral Transforms and Special Functions, 2007
Douak and Maroni stated the following problem: P1: For fixed non-negative integer r and positive integer d, find all d-orthogonal polynomial sets {P n } n ≥ 0 which satisfy being the r-th associated polynomial set of {P n } n≥0. They solved it for the particular cases (r, d)=(1, 1) and (r, d)=(1, 2).
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Solving linear initial value problems by Faber polynomials

Numerical Linear Algebra with Applications, 2002
AbstractIn this paper we use the theory of Faber polynomials for solving N‐dimensional linear initial value problems. In particular, we use Faber polynomials to approximate the evolution operator creating the so‐called exponential integrators. We also provide a consistence and convergence analysis.
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Correction to “Faber Polynomials and the Faber Series”

The American Mathematical Monthly, 1972
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A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems

IEEE Transactions on Fuzzy Systems, 2021
Wen-Bo Xie, Hak-Keung Lam, Jian Zhang
exaly  

On Faber Polynomials

American Journal of Mathematics, 1945
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On the zeros of weighted Faber polynomials

1995
Let \(E\) be a compact set in \(\mathbb{C}\) with connected complement, let \(\psi\) be the conformal mapping of \(\{w: |w |> \rho\}\) onto \(\widehat \mathbb{C} \backslash E\) (normalized at \(\infty)\), let \(\Phi = \psi^{-1}\), and let \(g(z) = 1 + \sum^\infty_{k=1} \mu_k/z^k\) be holomorphic in \(D\). Then the generalized Faber polynomial \(F_n(z,g)
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Hybrid Iterative Methods Based on Faber Polynomials

1993
In recent years, a lot of progress has been made in the field of iterative methods for large nonsynunetric systems of linear equations. Most of this work dealt with generalizations of the classical conjugate gradient algorithm to problems which are not positive definite (see [2] for an extensive survey of these developments).
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Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis

Computer Methods in Applied Mechanics and Engineering, 2022
Jie Liu
exaly