Formula:6441

Digital Library of Mathematical Functions ID 18.17.E3

${\displaystyle{\displaystyle\int_{0}^{x}H_{n}\left(y\right)\mathrm{d}y=\frac{1}{2(n+1)}(H_{n+1}\left(x\right)-H_{n+1}\left(0\right)),}}$

Symbols List

• ${\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}$: Hermite polynomial
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle y}}$: real variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

Resources that cite this formula

No records found.