List questions from hermite-polynomials

Published on 28 Feb 2021 - 13:04

63

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Are the Hermite polynomials independent?

Published on 24 Feb 2026 - 6:47

473

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closed form for arbitrary derivatives of gaussian function

Published on 24 Feb 2026 - 6:47

164

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Asymptotic expansion of scaled Hermite polynomial

Published on 17 Mar 2021 - 1:11

397

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Hermite polynomials (Integral)

Published on 25 Apr 2021 - 21:23

869

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Nonparametric Hermite cubic to Bezier Curve

Published on 06 May 2021 - 4:23

55

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Suitable choices of base functions for periodic signals using Koopman approximation

Published on 20 May 2021 - 20:20

137

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Gaussian Hermite expansion for complex numbers

Published on 24 Feb 2026 - 11:34

169

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Do Hermite polynomials satisfy $\int(H_n(x))^2 e^{-x^2} dx= 2n \int (H_{n-1}(x))^2 e^{-x^2} dx$?

Published on 03 Jun 2021 - 20:35

143

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Polynomial Interpolation $p(0)=1$ and $p'(-1)=p(1)$

Published on 08 Jun 2021 - 14:53

51

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Hermite Polynomials for Integration

Published on 16 Jun 2021 - 22:56

59

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Is it known that the extrema of $H_n(x)\exp(-\frac{x^2}{2})$ are the zeros of $H_{n+1}(x)$?

Published on 02 Jul 2021 - 10:24

255

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Evaluating a 'shifted' orthogonal series of Hermite polynomials

Published on 16 Jul 2021 - 6:44

158

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Quantizing a real-valued random variable

Published on 17 Aug 2021 - 16:22

97

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Given $\mathbb E[f(X^\top u)f(X^\top v)] \equiv h(u^\top v)$ for $X \sim N(0,I)$ and unit-vectors $u,v$, compute $h(1)$ and $h'(0)$ in terms of $f$

Published on 31 Aug 2021 - 16:11

List Question

Integration with unbounded spectral weight

Are the Hermite polynomials independent?

closed form for arbitrary derivatives of gaussian function

Asymptotic expansion of scaled Hermite polynomial

Hermite polynomials (Integral)

Nonparametric Hermite cubic to Bezier Curve

Suitable choices of base functions for periodic signals using Koopman approximation

Gaussian Hermite expansion for complex numbers

Do Hermite polynomials satisfy $\int(H_n(x))^2 e^{-x^2} dx= 2n \int (H_{n-1}(x))^2 e^{-x^2} dx$?

Polynomial Interpolation $p(0)=1$ and $p'(-1)=p(1)$

Hermite Polynomials for Integration

Is it known that the extrema of $H_n(x)\exp(-\frac{x^2}{2})$ are the zeros of $H_{n+1}(x)$?

Evaluating a 'shifted' orthogonal series of Hermite polynomials

Quantizing a real-valued random variable

Given $\mathbb E[f(X^\top u)f(X^\top v)] \equiv h(u^\top v)$ for $X \sim N(0,I)$ and unit-vectors $u,v$, compute $h(1)$ and $h'(0)$ in terms of $f$

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