DLMF:10.40.E2 (Q3580)

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DLMF:10.40.E2
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    Statements

    Defining formula
    K ν ⁡ ( z ) ∼ ( π 2 ⁢ z ) 1 2 ⁢ e - z ⁢ ∑ k = 0 ∞ a k ⁢ ( ν ) z k , asymptotic-expansion modified-Bessel-second-kind 𝜈 𝑧 superscript 𝜋 2 𝑧 1 2 superscript 𝑒 𝑧 superscript subscript 𝑘 0 subscript 𝑎 𝑘 𝜈 superscript 𝑧 𝑘 {\displaystyle{\displaystyle K_{\nu}\left(z\right)\sim\left(\frac{\pi}{2z}% \right)^{\frac{1}{2}}e^{-z}\sum_{k=0}^{\infty}\frac{a_{k}(\nu)}{z^{k}},}}
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    DLMF id
    DLMF:10.40.E2
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    constraint
    | ph ⁡ z | ≤ 3 2 ⁢ π - δ phase 𝑧 3 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{3}{2}\pi-\delta}}
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