DLMF:36.2.E14 (Q9850)

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Language	Label	Description	Also known as
English	DLMF:36.2.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\Psi_{2}\left(\mathbf{x}\right)=P(x_{2},x_{1})=% \int_{-\infty}^{\infty}\exp\left(\mathrm{i}(t^{4}+x_{2}t^{2}+x_{1}t)\right)% \mathrm{d}t.}}

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DLMF:36.2.E14

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canonical integral function

Defining formula

{\displaystyle{\displaystyle\Psi_{\NVar{K}}\left(\NVar{\mathbf{x}}\right)}}

C36.S2.E4.m2acdec

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Defining formula

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

C1.S4.SS4.m1ahdec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2aidec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2aidec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ahdec

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Defining formula

{\displaystyle{\displaystyle t}}

C36.S1.XMD5.m1gdec

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Defining formula

{\displaystyle{\displaystyle x_{i}}}

C36.S1.XMD8.m1adec

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Sitelinks

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