DLMF:36.12.E1 (Q9992)

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Language	Label	Description	Also known as
English	DLMF:36.12.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I(\mathbf{y},k)=\int_{-\infty}^{\infty}\exp\left(% ikf(u;\mathbf{y})\right)g(u,\mathbf{y})\mathrm{d}u,}}

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DLMF:36.12.E1

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Symbols defined

oscillatory integral (locally)

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Defining formula

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

C1.S4.SS4.m1adec

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exponential function

Defining formula

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

C4.S2.E19.m2adec

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Defining formula

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

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

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Defining formula

{\displaystyle{\displaystyle k}}

C36.S1.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle g(u,\mathbf{y})}}

C36.S12.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle f(u,\mathbf{y})}}

C36.S12.XMD3.m1dec

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Sitelinks

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