Results 51 to 60 of about 128,844 (218)
Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials
Applied Mathematics in Science and EngineeringThis article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
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Extension of Stein’s lemma derived by using an integration by differentiation technique
Examples and Counterexamples, 2022 We extend Stein’s lemma for averages that explicitly contain the Gaussian random variable at a power. We present two proofs for this extension of Stein’s lemma, with the first being a rigorous proof by mathematical induction.
Konstantinos Mamis
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Coupling Fluid Neutrals to Gyrokinetic Plasma Dynamics for Edge and SOL Turbulence Simulations
Contributions to Plasma Physics, EarlyView.ABSTRACT Accurate modeling of turbulent transport in magnetic confinement fusion devices requires extending first‐principles gyrokinetic simulations from the core to the edge and scrape‐off layer (SOL), where additional physics—particularly plasma–neutrals interactions—must be included.
Sabine Ogier‐Collin +3 more
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On the hermite matrix of a polynomial
Linear Algebra and its Applications, 1971 AbstractWe investigate the location of the eigenvalues of the Hermite matrix of a given complex polynomial, the question under what conditions a given polynomial and the characteristic polynomial of its Hermite matrix are identical, and the question under what conditions the Hermite matrix has only one distinct eigenvalue.
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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
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Wavefront Shaping for Optimal Extinction of Focused Light by Individual Nanoscatterers
Laser &Photonics Reviews, EarlyView.Wavefront shaping enables near‐complete optical extinction by nanoscatterers separated from a planar reflector. Time‐reversed emission profiles provide optimal illumination conditions, yielding 70% extinction from a single plasmonic nanoparticle and up to 90% from sub‐wavelength nanoparticle clusters, offering a promising route to efficient in‐ and out‐
Nick Feldman +5 more
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British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Traditional item response theory (IRT) models involve symmetric response probability functions, but a developing area of research has focused on asymmetric alternatives. To date, these studies have focused primarily on introducing new asymmetric models, detailing their mathematical formulations, explaining how to interpret their item ...
Hyejin Shim, Wes Bonifay
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Series with Hermite polynomials and applications [PDF]
Publicationes Mathematicae Debrecen, 2012 arXiv admin note: substantial text overlap with arXiv:1006 ...
Boyadzhiev, Khristo N., Dil, Ayhan
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On the extreme eigenvalues of certain matrices of non-standard inner products of Hermite polynomials
, 2018 We study Hermite orthogonal polynomials and Gram matrices of their non-standard inner products. The weight function of the non-standard inner product is obtained from the Gauss probability density function by its horizontal shift by a real parameter.
Pultarová Ivana, Plešinger Martin
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Higher-Order Hermite-Fejér Interpolation for Stieltjes Polynomials
Journal of Applied Mathematics, 2013 Let and be the ultraspherical polynomials with respect to . Then, we denote the Stieltjes polynomials with respect to satisfying . In this paper, we consider the higher-order Hermite-Fejér interpolation operator based on the zeros of and the higher
Hee Sun Jung, Ryozi Sakai
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