Results 71 to 80 of about 1,681 (245)
On some asymptotic properties of classical Hermite polynomials modified by a rational factor
Revista Integración, 2018 In this paper we study some asymptotic properties of the sequence of monic polynomials orthogonal with respect to the measure dµ = x 2+a x2+b e −x 2 dx, where a, b > 0 and a 6= b.
Luis Alejandro Molano Molano
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On \(d\)-symmetric classical \(d\)-orthogonal polynomials
Journal of Computational and Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Youssèf Ben Cheikh +1 more
openaire +2 more sources
Journal of Raman Spectroscopy, EarlyView.This study addresses calibration drift in Raman spectroscopy by transforming 1D spectra into 2D spider plot images processed by pretrained convolutional neural networks. This visualization strategy effectively converts detrimental spectral wavenumber shifts into simple image rotations, allowing the deep learning model to maintain high classification ...
Azadeh Mokari +2 more
wiley +1 more source
Parallel Vector Processing in Optical Computing With Jacobi Time‐Wave Packets
Laser &Photonics Reviews, EarlyView.Functionality of a single neuron and state of the art photonic acceleration with a Mach‐Zehnder‐interferometer (MZI) mesh (i), a crossbar array (ii) and a micro ring resonator (MRR) array (iii). In the proposed Jacobi time‐wave packet approach (iv) a single modulator (here a ring modulator) is performing the whole scalar vector product in a single ...
Janosch Meier +5 more
wiley +1 more source
On ( p , q ) $(p,q)$ -classical orthogonal polynomials and their characterization theorems
Advances in Difference Equations, 2017 In this paper, we introduce a general ( p , q ) $(p, q)$ -Sturm-Liouville difference equation whose solutions are ( p , q ) $(p, q)$ -analogues of classical orthogonal polynomials leading to Jacobi, Laguerre, and Hermite polynomials as ( p , q ) → ( 1 ...
M Masjed-Jamei +3 more
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Mapping Causal Biology: Mendelian Randomization in the Era of Big Data
Med Research, EarlyView.Mendelian randomization (MR) leverages genetic variants to mitigate confounding biases in causal inference. This review systematically maps MR's methodological evolution, highlights its expanding applications in epidemiology and drug target validation, and outlines future directions for overcoming current biases through dynamic, multi‐omics, and cross ...
Xuanlu Shen +10 more
wiley +1 more source
New views of some invariants associated with the Cartesian 2D velocity gradient tensor
Quarterly Journal of the Royal Meteorological Society, EarlyView.Vorticity and divergence of horizontal flow are fundamental quantities in meteorology; both are linear functions of the four elements of the 2D velocity gradient tensor and both are formally unchanged under coordinate rotation. We explore four quadratic functions of the elements that are geometrically invariant in this sense, finding some novel ...
I. Roulstone, S. A. Clough, A. A. White
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A Probablistic Origin for a New Class of Bivariate Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We present here a probabilistic approach to the generation of new polynomials in two discrete variables. This extends our earlier work on the 'classical' orthogonal polynomials in a previously unexplored direction, resulting in the discovery of an ...
Michael R. Hoare, Mizan Rahman
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Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
wiley +1 more source
On moments of classical orthogonal polynomials
Journal of Mathematical Analysis and Applications, 2015 The main concern of this paper is to highlight explicit representations of the moments of continuous, discrete and quantum orthogonal polynomials belonging to the Askey-Wilson scheme, via the inversion coefficients and some connection coefficients between some polynomial sets. Also, generating functions of some of these moments are established.
Njionou Sadjang, P. +2 more
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