Formula:6493

Digital Library of Mathematical Functions ID 18.18.E6

${\displaystyle{\displaystyle f(x)=\sum_{n=0}^{\infty}d_{n}H_{n}\left(x\right),}}$

Constraint(s)

${\displaystyle{\displaystyle-\infty<x<\infty}}$

Symbols List

• ${\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}$: Hermite polynomial
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle f(z)}}$: analytic function
• ${\displaystyle{\displaystyle d_{n}}}$: 18.18.E7
• ${\displaystyle{\displaystyle x}}$: real variable
 

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