DLMF:10.17.E18 (Q3187)

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DLMF:10.17.E18
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    Statements

    Defining formula
    R m , ℓ ± ⁢ ( ν , z ) = O ⁡ ( e - 2 ⁢ | z | ⁢ z - m ) , superscript subscript 𝑅 𝑚 ℓ plus-or-minus 𝜈 𝑧 Big-O superscript 𝑒 2 𝑧 superscript 𝑧 𝑚 {\displaystyle{\displaystyle R_{m,\ell}^{\pm}(\nu,z)=O\left(e^{-2|z|}z^{-m}% \right),}}
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    DLMF id
    DLMF:10.17.E18
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    constraint
    | ph ⁡ ( z ⁢ e ∓ 1 2 ⁢ π ⁢ i ) | ≤ π phase 𝑧 superscript 𝑒 minus-or-plus 1 2 𝜋 𝑖 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}\left(ze^{\mp\frac{1}{2}\pi i}% \right)|\leq\pi}}
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