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Longer titles found: Continuous q-Hermite polynomials (view), Discrete q-Hermite polynomials (view), Continuous big q-Hermite polynomials (view)

searching for Hermite polynomials 10 found (89 total)

alternate case: hermite polynomials

Rogers–Szegő polynomials (258 words) [view diff] exact match in snippet view article find links to article

introduced by Szegő (1926), who was inspired by the continuous q-Hermite polynomials studied by Leonard James Rogers. They are given by h n ( x ; q )

Pascal matrix (1,908 words) [view diff] case mismatch in snippet view article find links to article

Weisstein, Eric W. Erf-function Weisstein, Eric W. "Hermite Polynomial". Hermite-polynomials Endl, Kurt "Über eine ausgezeichnete Eigenschaft der Koeffizientenmatrizen

Secondary measure (3,541 words) [view diff] exact match in snippet view article find links to article

in the table of the harmonic triangular numbers of Leibniz. The Hermite polynomials are linked to the Gaussian density ρ ( x ) = e − x 2 2 2 π {\displaystyle

Gauss–Laguerre quadrature (754 words) [view diff] case mismatch in snippet view article find links to article

Weights of certain Associated Laguerre Polynomials and the related Hermite Polynomials". Mathematics of Computation. 18 (88): 598–616. doi:10

Erdős–Bacon number (2,246 words) [view diff] case mismatch in snippet view article find links to article

Gillis, J.; Victor, J. D. (1982). "Combinatorial Applications of Hermite Polynomials". SIAM Journal on Mathematical Analysis. 13 (5): 879–90. doi:10.1137/0513062

Pseudo-spectral method (2,505 words) [view diff] exact match in snippet view article find links to article

example, the quantum harmonic oscillator is ideally expanded in Hermite polynomials, and Jacobi-polynomials can be used to define the associated Legendre

White noise analysis (1,909 words) [view diff] exact match in snippet view article find links to article

An orthonormal basis in this Hilbert space, generalizing that of Hermite polynomials, is given by the so-called "Wick", or "normal ordered" polynomials

Spline (mathematics) (4,679 words) [view diff] exact match in snippet view article

example, the Hermite spline is a spline that is expressed using Hermite polynomials to represent each of the individual polynomial pieces. These are

Symmetry of diatomic molecules (7,796 words) [view diff] exact match in snippet view article find links to article

terms of the harmonic oscillator wavefunctions: Hermite polynomials. Using the property of Hermite polynomials: 2 ( α x ) H v ( α x ) = 2 v H v − 1 ( α x )

Quantum LC circuit (6,688 words) [view diff] exact match in snippet view article find links to article

solving the Schrödinger equation yields a family of solutions (the Hermite polynomials). ⟨ Q | ψ n ⟩ = 1 2 n n ! ⋅ ( L ω π ℏ ) 1 / 4 ⋅ exp ⁡ ( − L ω Q 2