DLMF:10.39.E7 (Q3575)

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Language	Label	Description	Also known as
English	DLMF:10.39.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I_{\nu}\left(z\right)=\frac{(2z)^{-\frac{1}{2}}M_% {0,\nu}\left(2z\right)}{2^{2\nu}\Gamma\left(\nu+1\right)},}}

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DLMF:10.39.E7

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{\displaystyle{\displaystyle 2\nu\neq-1,-2,-3,\dots}}

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Defining formula

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

C5.S2.E1.m2aadec

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Whittaker confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

C13.S14.E2.m2adec

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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 z}}

C10.S1.XMD6.m1fdec

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Sitelinks

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