Results 91 to 100 of about 531,187 (203)
On faber polynomials and faber expansions
POMMERENKE, CH., Kövari, T.
openaire +2 more sources
Pleijel's theorem for Schr\"odinger operators with radial potentials
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.
Charron, Philippe +2 more
core
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
openaire +3 more sources
Mapping dopaminergic projections in the human brain with resting-state fMRI. [PDF]
Oldehinkel M +9 more
europepmc +1 more source
Some properties of Faber-Walsh polynomials
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 ...
openaire +2 more sources
Explicit Representations of Faber Polynomials form-Cusped Hypocycloids
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
openaire +2 more sources
Subdiffuse scattering model for single fiber reflectance spectroscopy. [PDF]
Post AL +4 more
europepmc +1 more source
Generalizability of cognitive results from clinical trial participants to an older adult population: Addressing external validity. [PDF]
Aslanyan V +7 more
europepmc +1 more source
Studies in Faber polynomials. I [PDF]
openaire +2 more sources
Analytically Noncontinuable Series of Faber Polynomials
[Iliev Lubomir; Ilieff Ljubomir; Ilieff Lubomir; Ilieff Lübomir; Iliev Liubomir; Iliev Ljubomir; Iliev Lyubomir; Iliev Lübomir; Илиев Любомир ...
openaire +2 more sources

