DLMF:10.43.E21 (Q3635)

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Language	Label	Description	Also known as
English	DLMF:10.43.E21	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}\sin\left(at\right)K_{0}\left(t% \right)\mathrm{d}t=\frac{\operatorname{arcsinh}a}{(1+a^{2})^{\frac{1}{2}}},}}

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DLMF:10.43.E21

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{\displaystyle{\displaystyle|\Im a|<1}}

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Defining formula

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

C1.S4.SS4.m1apdec

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Defining formula

{\displaystyle{\displaystyle\operatorname{arcsinh}\NVar{z}}}

C4.S37.SS2.p1.m8adec

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Defining formula

{\displaystyle{\displaystyle\Im}}

C1.S9.E2.m2aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3apdec

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modified Bessel function of the second kind

Defining formula

{\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S25.E3.m2aidec

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Sitelinks

Wikipedia(0 entries)

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