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Properties and Examples of Faber–Walsh Polynomials [PDF]
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
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Faber polynomials with common zero [PDF]
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Viktor Savchuk +2 more
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Derivatives of Faber Polynomials and Markov Inequalities
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Igor Pritsker
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Faber Polynomials and Spectrum Localisation [PDF]
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Zeros of Faber Polynomials for Joukowski Airfoils [PDF]
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N Levenberg, Wielonsky F, Levenberg N
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The Faber polynomials for m-fold symmetric domains
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
On faber polynomials and faber expansions
Ch Pommerenke
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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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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
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

