DLMF:10.30.E1 (Q3513)

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Language	Label	Description	Also known as
English	DLMF:10.30.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I_{\nu}\left(z\right)\sim(\tfrac{1}{2}z)^{\nu}/% \Gamma\left(\nu+1\right),}}

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DLMF:10.30.E1

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

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Defining formula

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

C5.S2.E1.m2adec

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asymptotic equality

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.E1.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.m2adec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1dec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1dec

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