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- Hermite_polynomials abstract "In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence.The polynomials arise in: probability, such as the Edgeworth series; in combinatorics, as an example of an Appell sequence, obeying the umbral calculus; in numerical analysis as Gaussian quadrature; in finite element methods as shape functions for beams; in physics, where they give rise to the eigenstates of the quantum harmonic oscillator; in systems theory in connection with nonlinear operations on Gaussian noise. Hermite polynomials were defined by Laplace (1810) though in scarcely recognizable form, and studied in detail by Chebyshev (1859). Chebyshev's work was overlooked and they were named later after Charles Hermite who wrote on the polynomials in 1864 describing them as new. They were consequently not new although in later 1865 papers Hermite was the first to define the multidimensional polynomials.".
- Hermite_polynomials thumbnail Hermite_poly.svg?width=300.
- Hermite_polynomials wikiPageExternalLink Vol2.pdf.
- Hermite_polynomials wikiPageExternalLink HermitePolyMod.html.
- Hermite_polynomials wikiPageExternalLink legacybooks.
- Hermite_polynomials wikiPageID "195984".
- Hermite_polynomials wikiPageLength "45962".
- Hermite_polynomials wikiPageOutDegree "102".
- Hermite_polynomials wikiPageRevisionID "679262894".
- Hermite_polynomials wikiPageWikiLink Abramowitz_&_Stegun.
- Hermite_polynomials wikiPageWikiLink Abramowitz_and_Stegun.
- Hermite_polynomials wikiPageWikiLink Airy_function.
- Hermite_polynomials wikiPageWikiLink Analytic_function.
- Hermite_polynomials wikiPageWikiLink Appell_sequence.
- Hermite_polynomials wikiPageWikiLink Binomial_type.
- Hermite_polynomials wikiPageWikiLink Borel_functional_calculus.
- Hermite_polynomials wikiPageWikiLink Category:Orthogonal_polynomials.
- Hermite_polynomials wikiPageWikiLink Category:Polynomials.
- Hermite_polynomials wikiPageWikiLink Category:Special_hypergeometric_functions.
- Hermite_polynomials wikiPageWikiLink Charles_Hermite.
- Hermite_polynomials wikiPageWikiLink Chebyshev.
- Hermite_polynomials wikiPageWikiLink Christoffel–Darboux_formula.
- Hermite_polynomials wikiPageWikiLink Combinatorics.
- Hermite_polynomials wikiPageWikiLink Confluent_hypergeometric_function.
- Hermite_polynomials wikiPageWikiLink Continuous_Fourier_transform.
- Hermite_polynomials wikiPageWikiLink Contour_integral.
- Hermite_polynomials wikiPageWikiLink Correspondence_principle.
- Hermite_polynomials wikiPageWikiLink Dirac_delta_function.
- Hermite_polynomials wikiPageWikiLink Distribution_(mathematics).
- Hermite_polynomials wikiPageWikiLink Double_factorial.
- Hermite_polynomials wikiPageWikiLink Edgeworth_series.
- Hermite_polynomials wikiPageWikiLink Eigenfunction.
- Hermite_polynomials wikiPageWikiLink Eigenstate.
- Hermite_polynomials wikiPageWikiLink Eigenvalue.
- Hermite_polynomials wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Hermite_polynomials wikiPageWikiLink Entire_function.
- Hermite_polynomials wikiPageWikiLink Expected_value.
- Hermite_polynomials wikiPageWikiLink Exponential_function.
- Hermite_polynomials wikiPageWikiLink Exponential_generating_function.
- Hermite_polynomials wikiPageWikiLink Finite_element_method.
- Hermite_polynomials wikiPageWikiLink Finite_element_methods.
- Hermite_polynomials wikiPageWikiLink Floor_and_ceiling_functions.
- Hermite_polynomials wikiPageWikiLink Floor_function.
- Hermite_polynomials wikiPageWikiLink Fourier_transform.
- Hermite_polynomials wikiPageWikiLink Fractional_Fourier_transform.
- Hermite_polynomials wikiPageWikiLink Gaussian_function.
- Hermite_polynomials wikiPageWikiLink Gaussian_noise.
- Hermite_polynomials wikiPageWikiLink Gaussian_quadrature.
- Hermite_polynomials wikiPageWikiLink Generating_function.
- Hermite_polynomials wikiPageWikiLink Group_(mathematics).
- Hermite_polynomials wikiPageWikiLink Harald_Cramér.
- Hermite_polynomials wikiPageWikiLink Hermite_number.
- Hermite_polynomials wikiPageWikiLink Hilbert_space.
- Hermite_polynomials wikiPageWikiLink Hilbrand_J._Groenewold.
- Hermite_polynomials wikiPageWikiLink Laguerre_function.
- Hermite_polynomials wikiPageWikiLink Laguerre_polynomial.
- Hermite_polynomials wikiPageWikiLink Laguerre_polynomials.
- Hermite_polynomials wikiPageWikiLink Lebesgue_measure.
- Hermite_polynomials wikiPageWikiLink Linear_span.
- Hermite_polynomials wikiPageWikiLink Lp_space.
- Hermite_polynomials wikiPageWikiLink Maclaurin_series.
- Hermite_polynomials wikiPageWikiLink Mathematics.
- Hermite_polynomials wikiPageWikiLink Measure_(mathematics).
- Hermite_polynomials wikiPageWikiLink Mehler_kernel.
- Hermite_polynomials wikiPageWikiLink Mehlers_formula.
- Hermite_polynomials wikiPageWikiLink Methods_of_contour_integration.
- Hermite_polynomials wikiPageWikiLink Multiplication_theorem.
- Hermite_polynomials wikiPageWikiLink Normal_distribution.
- Hermite_polynomials wikiPageWikiLink Numerical_analysis.
- Hermite_polynomials wikiPageWikiLink Orthogonal_polynomials.
- Hermite_polynomials wikiPageWikiLink Orthonormal_basis.
- Hermite_polynomials wikiPageWikiLink Pafnuty_Chebyshev.
- Hermite_polynomials wikiPageWikiLink Parabolic_cylinder_function.
- Hermite_polynomials wikiPageWikiLink Parameterized_family.
- Hermite_polynomials wikiPageWikiLink Parametric_family.
- Hermite_polynomials wikiPageWikiLink Phase_space_formulation.
- Hermite_polynomials wikiPageWikiLink Physics.
- Hermite_polynomials wikiPageWikiLink Polynomial_sequence.
- Hermite_polynomials wikiPageWikiLink Power_series.
- Hermite_polynomials wikiPageWikiLink Probability.
- Hermite_polynomials wikiPageWikiLink Probability_density_function.
- Hermite_polynomials wikiPageWikiLink Quantum_harmonic_oscillator.
- Hermite_polynomials wikiPageWikiLink Quantum_state.
- Hermite_polynomials wikiPageWikiLink Random_variable.
- Hermite_polynomials wikiPageWikiLink Recurrence_relation.
- Hermite_polynomials wikiPageWikiLink Recursion.
- Hermite_polynomials wikiPageWikiLink Schrödinger_equation.
- Hermite_polynomials wikiPageWikiLink Sheffer_sequence.
- Hermite_polynomials wikiPageWikiLink Standard_deviation.
- Hermite_polynomials wikiPageWikiLink Stirlings_approximation.
- Hermite_polynomials wikiPageWikiLink Systems_theory.
- Hermite_polynomials wikiPageWikiLink Taylor_series.
- Hermite_polynomials wikiPageWikiLink Telephone_number_(mathematics).
- Hermite_polynomials wikiPageWikiLink Turxc3xa1ns_inequalities.
- Hermite_polynomials wikiPageWikiLink Umbral_calculus.
- Hermite_polynomials wikiPageWikiLink Weierstrass_transform.
- Hermite_polynomials wikiPageWikiLink Whittaker_function.
- Hermite_polynomials wikiPageWikiLink Wigner_distribution_function.
- Hermite_polynomials wikiPageWikiLink File:Herm5.svg.
- Hermite_polynomials wikiPageWikiLink File:Herm50.svg.