DLMF:1.17.E13 (Q672)

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Language	Label	Description	Also known as
English	DLMF:1.17.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\delta\left(x-a\right)=x\int_{0}^{\infty}tJ_{\nu}% \left(xt\right)J_{\nu}\left(at\right)\mathrm{d}t,}}

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DLMF:1.17.E13

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{\displaystyle{\displaystyle\Re\nu>-1}}

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{\displaystyle{\displaystyle x>0}}

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{\displaystyle{\displaystyle a>0}}

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}

C1.S17.SS1.p1.m2addec

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Defining formula

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

C1.S4.SS4.m1aidec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aidec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1adec

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Sitelinks

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