DLMF:10.31.E3 (Q3520)

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Language	Label	Description	Also known as
English	DLMF:10.31.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I_{\nu}\left(z\right)I_{\mu}\left(z\right)=(% \tfrac{1}{2}z)^{\nu+\mu}\sum_{k=0}^{\infty}\frac{(\nu+\mu+k+1)_{k}(\tfrac{1}{4% }z^{2})^{k}}{k!\Gamma\left(\nu+k+1\right)\Gamma\left(\mu+k+1\right)}.}}

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DLMF:10.31.E3

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Defining formula

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

C5.S2.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5abdec

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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.m2abdec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1bdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1dec

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