DLMF:10.40.E1 (Q3579)

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DLMF:10.40.E1
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    I ν ( z ) e z ( 2 π z ) 1 2 k = 0 ( - 1 ) k a k ( ν ) z k , asymptotic-expansion modified-Bessel-first-kind 𝜈 𝑧 superscript 𝑒 𝑧 superscript 2 𝜋 𝑧 1 2 superscript subscript 𝑘 0 superscript 1 𝑘 subscript 𝑎 𝑘 𝜈 superscript 𝑧 𝑘 {\displaystyle{\displaystyle I_{\nu}\left(z\right)\sim\frac{e^{z}}{(2\pi z)^{% \frac{1}{2}}}\sum_{k=0}^{\infty}(-1)^{k}\frac{a_{k}(\nu)}{z^{k}},}}
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