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Properties and Examples of Faber–Walsh Polynomials [PDF]

open access: yesComputational Methods and Function Theory, 2016
The Faber--Walsh polynomials are a direct generalization of the (classical) Faber polynomials from simply connected sets to sets with several simply connected components. In this paper we derive new properties of the Faber--Walsh polynomials, where we focus on results of interest in numerical linear algebra, and on the relation between the Faber--Walsh
Jörg Liesen   +2 more
exaly   +3 more sources

Faber polynomials with common zero [PDF]

open access: yesAnalysis and Mathematical Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Viktor Savchuk   +2 more
exaly   +2 more sources

Derivatives of Faber Polynomials and Markov Inequalities

open access: yesJournal of Approximation Theory, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Igor Pritsker
exaly   +2 more sources

Faber Polynomials and Spectrum Localisation [PDF]

open access: yesComputational Methods and Function Theory, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Zeros of Faber Polynomials for Joukowski Airfoils [PDF]

open access: yesConstructive Approximation, 2019
18 ...
N Levenberg, Wielonsky F, Levenberg N
exaly   +4 more sources

The Faber polynomials for m-fold symmetric domains

open access: yesJournal 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
exaly   +4 more sources

The Faber polynomials for circular lunes

open access: yesComputers and 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 \(D_\alpha\).
exaly   +4 more sources

Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent Functions

open access: yesJournal of Mathematics, 2021
In the present paper, the authors implement the two analytic functions with its positive real part in the open unit disk. New types of polynomials are introduced, and by using these polynomials with the Faber polynomial expansion, a formula is structured
Hameed Ur Rehman   +2 more
doaj   +1 more source

New Applications of Faber Polynomials and q-Fractional Calculus for a New Subclass of m-Fold Symmetric bi-Close-to-Convex Functions

open access: yesAxioms, 2023
Using the concepts of q-fractional calculus operator theory, we first define a (λ,q)-differintegral operator, and we then use m-fold symmetric functions to discover a new family of bi-close-to-convex functions.
Mohammad Faisal Khan   +3 more
doaj   +1 more source

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