DLMF:10.27.E6 (Q3496): Difference between revisions

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Property / constraint
 

- π ± ph z 1 2 π 𝜋 plus-or-minus phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle-\pi\leq\pm\operatorname{ph}z\leq\tfrac{1}{2}\pi}}

-\pi\leq\pm\phase@@{z}\leq\tfrac{1}{2}\pi
Property / constraint: - π ± ph z 1 2 π 𝜋 plus-or-minus phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle-\pi\leq\pm\operatorname{ph}z\leq\tfrac{1}{2}\pi}} / rank
 
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Revision as of 17:38, 30 December 2019

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DLMF:10.27.E6
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    Statements

    I ν ( z ) = e ν π i / 2 J ν ( z e ± π i / 2 ) , modified-Bessel-first-kind 𝜈 𝑧 superscript 𝑒 minus-or-plus 𝜈 𝜋 𝑖 2 Bessel-J 𝜈 𝑧 superscript 𝑒 plus-or-minus 𝜋 𝑖 2 {\displaystyle{\displaystyle I_{\nu}\left(z\right)=e^{\mp\nu\pi i/2}J_{\nu}% \left(ze^{\pm\pi i/2}\right),}}
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    DLMF:10.27.E6
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    - π ± ph z 1 2 π 𝜋 plus-or-minus phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle-\pi\leq\pm\operatorname{ph}z\leq\tfrac{1}{2}\pi}}
    0 references