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      EconometricsTime SeriesForecastingHermite Polynomials
We evaluate an important definite integral involving the Hermite Polynomials. We also investigate the role of the Hermite polynomials in the wavefunctions of the quantum harmonic oscillator.
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      Ordinary Differential EquationsQuantum PhysicsQuantum MechanicsIntegration
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      MathematicsHermite Polynomials
A description of Orthogonal Tensor Hermite Polynomials in 3-D is presented. These polynomials, as introduced by Grad in 1949 [1], can be used to obtain a series solution to the Boltzmann Transport Equation. The properties that are... more
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      Mathematical PhysicsAtmospheric ScienceOrthogonal polynomialsSpace Physics
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      Number TheoryHermite PolynomialsORTHOGONALITYLegendre Polynomials
We introduce degenerate Hermite polynomials as a degenerate version of the ordinary Hermite polynomials. Then, among other things, by using the formula about representing one lambda-Sheffer polynomial in terms of other lambda-Sheffer... more
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      MathematicsApplied MathematicsPure MathematicsHermite Polynomials
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      Number TheoryHermite PolynomialsORTHOGONALITYLegendre Polynomials
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      PhysicsGeometryDiffractionRelation
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      Mathematical PhysicsAtmospheric ScienceOrthogonal polynomialsSpace Physics
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      Applied MathematicsNumerical IntegrationInterpolationHermite Polynomials
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      EngineeringMathematicsComputer ScienceTechnology
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      Information SystemsApplied MathematicsComputational ScienceNumerical Analysis
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      Quantum PhysicsLocalizationQuantizationMathematical Sciences
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      EngineeringMathematicsComputer ScienceTechnology
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      Applied MathematicsHermite PolynomialsNumerical Analysis and Computational Mathematics
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      Pure MathematicsHermite Polynomials
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      MathematicsApplied MathematicsStatisticsConvergence Rate
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      Mathematical SciencesPhysical sciencesHermite PolynomialsFourier transform
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      Mathematical SciencesPhysical sciencesIntegral TransformsHermite Polynomials
In recent years there has been a renewed interest in finding fast algorithms to compute accurately the linear canonical transform (LCT) of a given function. This is driven by the large number of applications of the LCT in optics and... more
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      EngineeringTechnologySignal ProcessingNumerical Analysis
The purpose of this paper is to introduce and investigate new unification of unified family of Apostol-type polynomials and numbers based on results given in [1] [2]. Also, we derive some properties for these polynomials and obtain some... more
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      MathematicsCombinatoricsHermite PolynomialsCombinatorics & Statistics
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      Applied MathematicsNumerical AnalysisConvergenceApplied Mathematics and Computational Science
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      MathematicsOrthogonal polynomialsPure MathematicsDifferential Equations
2002 Vernor Arguedas Troyo / Roberto Mata Montero INTERPOLACIÓN DOBLE DE HERMITE Y SU APLICACIÓN A MÉTODOS RUNGE-KUTTA InterSedes: Revista de las Sedes Regionales, mayo, año/vol. III, número 005 Universidad de Costa Rica Ciudad ...
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      MathematicsUniversidad de Costa RicaHermite PolynomialsRunge Kutta Methods
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      MathematicsHermite Polynomials
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      MathematicsPropertyMathematical FinanceProcess
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      Applied MathematicsApplied Mathematics and Computational ScienceHermite PolynomialsNumerical Analysis and Computational Mathematics
The main result of the paper is the use of orthogonal Hermite polynomials as the basis functions of feedforward neural networks. The proposed neural networks have some interesting properties: (i) the basis functions are invariant under... more
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      Applied MathematicsStatisticsNeural NetworksNeural Network
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      Applied MathematicsNumerical AnalysisConvergenceAlgorithm
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      StatisticsGaussian processesHermite PolynomialsGaussian Process
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      Hermite PolynomialsRaising and Lowering OperatorsAmerican Mathematical Society
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      SignalTime Frequency AnalysisPure and Applied MathematicsHermite Polynomials
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      Mathematical SciencesPhysical sciencesHermite PolynomialsOrthogonal Polynomial
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      EngineeringTechnologySignal ProcessingNumerical Analysis
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      MathematicsHermite Polynomials
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      Orthogonal polynomialsSpecial functionsAsymptotic Expansionsasymptotic Analysis
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      MathematicsApplied MathematicsApplied Mathematics and Computational ScienceHermite Polynomials
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      Integrable SystemsQuantum MechanicsFormalismSpecial functions
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      Applied MathematicsFixed Point TheoryHermite PolynomialsNonlinear system
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      Applied MathematicsHermite PolynomialsNumerical Analysis and Computational Mathematics
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      Integral EquationsDifferential EquationsMathematical SciencesAsymptotic Expansions
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      Applied MathematicsStatisticsHermite PolynomialsHigh Dimensionality
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... more
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      Orthogonal polynomialsHermite PolynomialsSpectral Propertiesstochastic Galerkin
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      Mathematical SciencesPhysical sciencesIntegral TransformsHermite Polynomials
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      Applied MathematicsPure MathematicsHermite PolynomialsLaguerre polynomial
Accurate prediction of extreme flood peak discharge is essential in developing the best management practices to avoid and reduce flood disaster. In recent years, many techniques have been pronounced as a branch of computer science to... more
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      Flood ForecastingArtificial Neural NetworksHermite PolynomialsLeast square methods
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      Mathematical SciencesPhysical sciencesHermite PolynomialsOrthogonal Polynomial
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      EngineeringMonte Carlo SimulationNumerical MethodMaximum Entropy Principle
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      Applied MathematicsApproximation TheoryConvergencePure Mathematics