DLMF:10.17.E18 (Q3187): Difference between revisions

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Property / 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}}

|\phase@{ze^{\mp\frac{1}{2}\pi i}}|\leq\pi
Property / 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}} / rank
 
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Revision as of 17:17, 30 December 2019

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DLMF:10.17.E18
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    Statements

    R m , ± ( ν , z ) = O ( e - 2 | z | z - m ) , superscript subscript 𝑅 𝑚 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:10.17.E18
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    | 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}}
    0 references