DLMF:10.22.E38 (Q3412)

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Language	Label	Description	Also known as
English	DLMF:10.22.E38	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{1}tJ_{\nu}\left(\alpha_{\ell}t\right)J_{% \nu}\left(\alpha_{m}t\right)\mathrm{d}t=\left(\frac{a^{2}}{b^{2}}+\alpha_{\ell% }^{2}-\nu^{2}\right)\frac{(J_{\nu}\left(\alpha_{\ell}\right))^{2}}{2\alpha_{% \ell}^{2}}\delta_{\ell,m},}}

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DLMF:10.22.E38

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2aaddec

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Defining formula

{\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}

introduction.Sx4.p1.t1.r4.m5aadec

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Defining formula

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

C1.S4.SS4.m1aakdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aakdec

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Defining formula

{\displaystyle{\displaystyle m}}

C10.S1.XMD1.m1adec

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Sitelinks

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