DLMF:6.7.E13 (Q2266): Difference between revisions

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Revision as of 01:29, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:6.7.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{f}\left(z\right)=\int_{0}^{\infty}\frac{% \sin t}{t+z}\mathrm{d}t=\int_{0}^{\infty}\frac{e^{-zt}}{t^{2}+1}\mathrm{d}t,}}

0 references

DLMF:6.7.E13

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Defining formula

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

C1.S4.SS4.m1aldec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aldec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aldec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2acdec

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auxiliary function for sine and cosine integrals

Defining formula

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

C6.S2.E17.m2aadec

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Sitelinks

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