Formula:6420

Digital Library of Mathematical Functions ID 18.15.E28

${\displaystyle{\displaystyle H_{n}\left(x\right)=2^{\frac{1}{4}(\mu^{2}-1)}e^{\frac{1}{2}\mu^{2}t^{2}}U\left(-\tfrac{1}{2}\mu^{2},\mu t\sqrt{2}\right);}}$

Symbols List

• ${\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}$: Hermite polynomial
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
 

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