DLMF:10.43.E27 (Q3641)

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Language	Label	Description	Also known as
English	DLMF:10.43.E27	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}t^{\mu+\nu+1}K_{\mu}\left(at% \right)J_{\nu}\left(bt\right)\mathrm{d}t=\frac{(2a)^{\mu}(2b)^{\nu}\Gamma\left% (\mu+\nu+1\right)}{(a^{2}+b^{2})^{\mu+\nu+1}},}}

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DLMF:10.43.E27

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{\displaystyle{\displaystyle\Re(\nu+1)>|\Re\mu|,\Re a>|\Im b|}}

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2aadec

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2ahdec

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Defining formula

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

C1.S4.SS4.m1avdec

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Defining formula

{\displaystyle{\displaystyle\Im}}

C1.S9.E2.m2acdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3avdec

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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.m2amdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1ajdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1ndec

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Sitelinks

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