DLMF:10.22.E65 (Q3439)

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Language	Label	Description	Also known as
English	DLMF:10.22.E65	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}J_{0}\left(at\right)\left(J_{0}% \left(bt\right)-J_{0}\left(ct\right)\right)\frac{\mathrm{d}t}{t}=\begin{cases}% 0,&0\leq b<a,0<c\leq a,\\ \ln\left(c/a\right),&0\leq b<a\leq c.\end{cases}}}

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DLMF:10.22.E65

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2aaxdec

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Defining formula

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

C1.S4.SS4.m1abldec

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