DLMF:18.17.E35 (Q5776)

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Language	Label	Description	Also known as
English	DLMF:18.17.E35	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{-\infty}^{\infty}e^{-xz}H_{n}\left(x\right)e% ^{-x^{2}}\mathrm{d}x=\pi^{\frac{1}{2}}(-z)^{n}e^{\frac{1}{4}z^{2}},}}

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DLMF:18.17.E35

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{\displaystyle{\displaystyle z\in\mathbb{C}}}

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Defining formula

{\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r13.m2acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ardec

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Defining formula

{\displaystyle{\displaystyle\mathbb{C}}}

introduction.Sx4.p1.t1.r1.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1aahdec

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2aadec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2ardec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aahdec

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