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What simplifications could be made in the evaluation of the product of shifted Hermite polynomials at a point?

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#calculus #mathematical-physics #hermite-polynomials
20
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Finding the coefficients $c_n$ in the expression $x^m \phi_{n_0} = \sum_n c_n \phi_n$, where $\phi_n$ is a Hermite function

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#binomial-coefficients #recursion #hermite-polynomials
41
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Searching for weighted-$L^1$ summable orthonormal basis of $L^2(0,\infty)$

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#orthonormal #change-of-basis #chebyshev-polynomials #hermite-polynomials #laguerre-polynomials
124
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Compute $\int_{\mathbb{R}^2} u_m(x) u_n(x) |x|^r dx$ with $u_n$ hermite function.

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#definite-integrals #upper-lower-bounds #hermite-polynomials
284
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A power series solution to Hermite's differential equation

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#ordinary-differential-equations #power-series #hermite-polynomials
127
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Indefinite integral of the product of a Gaussian with a Hermite polynomial

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#indefinite-integrals #gaussian-integral #hermite-polynomials
101
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Infinite sum of a product of Hermite polynomials

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#sequences-and-series #quantum-mechanics #hermite-polynomials
76
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Fourier Transform of probabilist's Hermite Polynomials

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#fourier-analysis #fourier-series #fourier-transform #hermite-polynomials
12
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Question about multidimensional polynomials basis develoment

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#taylor-expansion #orthogonal-polynomials #hermite-polynomials
140
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Proving Normalized Hermite Polynomials are the eigenfunctions of Fourier Transform by alternative definition without generating function

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#fourier-transform #hermite-polynomials
44
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Possibility of expressing ln(x) as a sum of Hermite polynomials

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#probability #probability-distributions #expected-value #hermite-polynomials #experimental-mathematics
112
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Ladder Operations and Rodriguez formula

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#derivatives #operator-theory #hermite-polynomials
84
Views

Hermite expansion of polynomial function

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#polynomials #reference-request #normal-distribution #hermite-polynomials
87
Views

Estimate the fractional Sobolev norm of Hermite functions.

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#upper-lower-bounds #fractional-sobolev-spaces #hermite-polynomials
166
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Sum of Hermite polynomials

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#summation #factorial #hermite-polynomials

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