DLMF:6.7.E14 (Q2267)

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Language	Label	Description	Also known as
English	DLMF:6.7.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{g}\left(z\right)=\int_{0}^{\infty}\frac{% \cos t}{t+z}\mathrm{d}t=\int_{0}^{\infty}\frac{te^{-zt}}{t^{2}+1}\mathrm{d}t.}}

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DLMF:6.7.E14

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2addec

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Defining formula

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

C1.S4.SS4.m1amdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2amdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3amdec

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auxiliary function for sine and cosine integrals

Defining formula

{\displaystyle{\displaystyle\mathrm{g}\left(\NVar{z}\right)}}

C6.S2.E18.m2aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C6.S1.XMD2.m1ddec

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Sitelinks

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