DLMF:10.32.E15 (Q3535)

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Language	Label	Description	Also known as
English	DLMF:10.32.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I_{\mu}\left(z\right)I_{\nu}\left(z\right)=\frac{% 2}{\pi}\int_{0}^{\frac{1}{2}\pi}I_{\mu+\nu}\left(2z\cos\theta\right)\cos\left(% (\mu-\nu)\theta\right)\mathrm{d}\theta,}}

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DLMF:10.32.E15

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{\displaystyle{\displaystyle\Re(\mu+\nu)>-1}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2amdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2aidec

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Defining formula

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

C1.S4.SS4.m1andec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3andec

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modified Bessel function of the first kind

Defining formula

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

C10.S25.E2.m2aedec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aedec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1ldec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1jdec

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Sitelinks

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