Results 111 to 120 of about 128,877 (315)
Discrete Analogues of the Erdélyi Type Integrals for Hypergeometric Functions
Gasper followed the fractional calculus proof of an Erdélyi integral to derive its discrete analogue in the form of a hypergeometric expansion. To give an alternative proof, we derive it by following a procedure analogous to a triple series manipulation ...
Yashoverdhan Vyas+4 more
doaj +1 more source
Darboux transforms on Band Matrices, Weights and associated Polynomials
Classically, it is well known that a single weight on a real interval leads to orthogonal polynomials. In "Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems", Comm. Math. Phys. 207, pp.
Adler, Mark, van Moerbeke, Pierre
core +3 more sources
From Krall discrete orthogonal polynomials to Krall polynomials
We show how to get Krall polynomials from Krall discrete polynomials using a procedure of passing to the limit in some of the parameters of the family. We also show that this procedure has to be different to the standard one used in the Askey scheme to go from the classical discrete polynomials to the classical polynomials.
openaire +3 more sources
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
APPROXIMATIVE PROPERTIES OF FOURIER-MEIXNER SUMS
We consider the problem of approximation of discrete functions f = f(x) defined on the set Ω_δ = {0, δ, 2δ, . . .}, where δ =1/N, N > 0, using the Fourier sums in the modified Meixner polynomials M_(α;n,N)(x) = M(α;n)(Nx) (n = 0, 1, . . .), which for α >
Gadzhimirzaev R. M.
doaj +1 more source
Integrating Surface‐Enhanced Raman Scattering (SERS) with machine learning creates a powerful platform for cancer management. This approach enhances diagnostic precision through non‐invasive molecular fingerprinting and enables real‐time therapeutic monitoring. By combining SERS with machine learning, it offers a comprehensive solution for early cancer
Heng‐Zhou He+9 more
wiley +1 more source
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
On the asymptotics of orthogonal polynomials on the curve with a denumerable mass points
We investigate the asymptotic behavior of orthogonal polynomials with respect to a measure of the type \(\sigma =\alpha +\gamma \), where \(\alpha \) is a measure concentrated on a rectifiable Jordan curve and \(\gamma \) is an infinite discrete measure.
Khaldi Rabah, Aggoune Fateh
doaj +2 more sources
In this study, a high accuracy numerical method based on the spectral theory of compact operator for biharmonic eigenvalue equations on a spherical domain is developed.
Zhendong Luo
doaj +1 more source
Distribution of the First Particle in Discrete Orthogonal Polynomial Ensembles [PDF]
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Dmitriy Boyarchenko, Alexei Borodin
openaire +3 more sources