Results 81 to 90 of about 5,232 (228)
The Steklov spectrum of spherical cylinders
Abstract The Steklov problem on a compact Lipschitz domain is to find harmonic functions on the interior whose outward normal derivative on the boundary is some multiple (eigenvalue) of their trace on the boundary. These eigenvalues form the Steklov spectrum of the domain.
Spencer Bullent
wiley +1 more source
In this paper, we introduce and study the Tricomi continuants, a family of tridiagonal determinants forming a Sheffer sequence closely related to the Tricomi polynomials and the Laguerre polynomials.
Emanuele Munarini
doaj +1 more source
Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley +1 more source
ABSTRACT Purpose The purpose of this study was to investigate the effect of magnetization exchange on the measurement of tryptophan and NAD+ T1 relaxation times and to determine the magnetization exchange rates with a two‐spin system model using downfield 1H MRS spectroscopy at 7 T in human brain.
Sophia Swago +5 more
wiley +1 more source
We use synthetic (Aim 1), human brain (Aim 2) and phantom (Aim 3) data to assess how basis set choice affects Glu, tCr, tNAA and tCho quantification, focusing on the bias–variance trade‐off under varying SNR conditions. Including GABA, GSH, NAAG and glucose improved Glu estimates, reducing bias and variance below 10%.
Polina Emeliyanova +3 more
wiley +1 more source
Implicit third‐order Peer two‐step methods that are superconvergent for variable stepsizes have the potential to significantly improve the efficiency of solving large‐scale ODE‐constrained optimal control problems. These include real‐world applications in medical treatment planning for prostate cancer, such as the design of effective three‐dose drug ...
Jens Lang, Bernhard A. Schmitt
wiley +1 more source
On the Hankel determinants of close-to-convex univalent functions
The rate of growth of Hankel determinant for close-to-convex functions is determined. The results in this paper are best possible.
K. Inayat Noor
doaj +1 more source
Continued Fractions and Hankel Determinants from Hyperelliptic Curves [PDF]
AbstractFollowing van der Poorten, we consider a family of nonlinear maps that are generated from the continued fraction expansion of a function on a hyperelliptic curve of genus g. Using the connection with the classical theory of J‐fractions and orthogonal polynomials, we show that in the simplest case g = 1 this provides a straightforward derivation
openaire +3 more sources
Rational Approximation to the Solutions of Two-Point Boundary Value Problems
We propose a method for the treatment of two-point boundary value problems given by nonlinear ordinary differential equations. The approach leads to sequences of roots of Hankel determinants that converge rapidly towards the unknown parameter of the ...
P. Amore, F. M. Fernández
doaj

