List questions from hermite-polynomials

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Formation of Hermite basis functions

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Expressing Hermite polynomials using confluent hypergeometric functions

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find a polynomial $p$ with $p(0), p(1), p'(2)$ known

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Integral involving Hermite polynomial

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$_(,_)$ is a martingale

Published on 25 Apr 2026 - 21:18

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A generalization of the Hermite polynomial: is there a name for this class of polynomials in the literature?

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154

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Hermite Polynomials are orthonormal basis for $L(\mathbb{R})$

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312

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Hermite polynomials and even weight function

Published on 25 Mar 2026 - 5:03

143

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$\sum_{n=0}^\infty\frac{H_n(x)H_n(y)t^n}{2^nn!}$=$\frac{\exp\left[\frac{2xyt-(x^2+y^2)t^2}{1-t^2}\right]}{\sqrt{1-t^2}}$

Published on 25 Mar 2026 - 5:10

163

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Wick power of standard normal random variable equals Hermite polynomial.

Published on 09 Apr 2026 - 17:13

156

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New Hermite polynomial identity?

Published on 25 Mar 2026 - 5:05

101

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How to find the general solution using the Hermite polynomial?

Published on 29 Apr 2026 - 11:13

134

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New Hermite polynomial identity? (Vol II)

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421

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Solving $\left(x-c_1\frac{d}{dx}\right)^nf(x)=0$ for $f(x)$

Published on 25 Mar 2026 - 5:07

List Question

Possibility of finding a fifth degree interpolating polynomial

Formation of Hermite basis functions

Expressing Hermite polynomials using confluent hypergeometric functions

find a polynomial $p$ with $p(0), p(1), p'(2)$ known

Integral involving Hermite polynomial

$_(,_)$ is a martingale

A generalization of the Hermite polynomial: is there a name for this class of polynomials in the literature?

Hermite Polynomials are orthonormal basis for $L(\mathbb{R})$

Hermite polynomials and even weight function

$\sum_{n=0}^\infty\frac{H_n(x)H_n(y)t^n}{2^nn!}$=$\frac{\exp\left[\frac{2xyt-(x^2+y^2)t^2}{1-t^2}\right]}{\sqrt{1-t^2}}$

Wick power of standard normal random variable equals Hermite polynomial.

New Hermite polynomial identity?

How to find the general solution using the Hermite polynomial?

New Hermite polynomial identity? (Vol II)

Solving $\left(x-c_1\frac{d}{dx}\right)^nf(x)=0$ for $f(x)$

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