Results 81 to 90 of about 56,667 (302)
A characterization of the four Chebyshev orthogonal families
We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear ...
E. Berriochoa+2 more
doaj +1 more source
Predicting the Uniform Electron Gas Stopping Power at Moderate and Strong Coupling
ABSTRACT This paper presents a detailed study of the stopping power of a homogeneous electron gas in moderate and strong coupling regimes using the self‐consistent version of the method of moments as the key theoretical approach capable of expressing the dynamic characteristics of the system in terms of the static ones, which are the moments.
Saule A. Syzganbayeva+8 more
wiley +1 more source
Stock Return Prediction Based on a Functional Capital Asset Pricing Model
ABSTRACT The capital asset pricing model (CAPM) is readily used to capture a linear relationship between the daily returns of an asset and a market index. We extend this model to an intraday high‐frequency setting by proposing a functional CAPM estimation approach.
Ufuk Beyaztas+3 more
wiley +1 more source
The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj +1 more source
Informing DSGE Models Through Dynamic Factor Models
ABSTRACT Structural dynamic factor models (SDFM) represent a reliable tool to inform the construction of dynamic stochastic general equilibrium (DSGE) models. The reason is that the log‐linear solution of a DSGE model has a factor structure which ensures consistency between the representations of the two models.
Mario Forni+3 more
wiley +1 more source
In this paper, we introduce the notion of Oε-classical orthogonal polynomials, where Oε := I + εD (ε 6= 0). It is shown that the scaled Laguerre polynomial sequence {a −nL (α) n (ax)}n>0, where a = −ε −1 , is actually the only Oε-classical ...
B. Aloui, L. Kheriji
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ABSTRACT This paper introduces a generalized model of peer effects for binary outcomes, based on a network game that accounts for strategic complementarity (influence of the number of peers that select the same action) and conformity to social norms (penalizing deviations from the average peers' action).
Mathieu Lambotte
wiley +1 more source
The Associated Classical Orthogonal Polynomials [PDF]
The associated orthogonal polynomials p n (x;c) are defined by the 3-term recurrence relation with coefficients A n , B n , C n for p n (x) with c = 0, replaced by A n+c, B n+cand C n+c, c being the association parameter. Starting with examples where such polynomials occur in a natural way some of the well-known theories of how to determine their ...
openaire +2 more sources
Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley +1 more source
The manifestation of specific ion effects in methanol‐water mixtures on polymer brush exemplars is explored. Spectroscopic ellipsometry and neutron reflectometry revealed solvent‐driven LCST changes in a thermoresponsive brush, which is also readily influenced by the presence of electrolytes.
Hayden Robertson+6 more
wiley +1 more source