DLMF:10.27.E10 (Q3500): Difference between revisions

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Property / constraint
 

| ph z | 1 2 π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi}}

|\phase@@{z}|\leq\tfrac{1}{2}\pi
Property / constraint: | ph z | 1 2 π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi}} / rank
 
Normal rank

Revision as of 17:38, 30 December 2019

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DLMF:10.27.E10
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    Statements

    - π Y ν ( z ) = e - ν π i / 2 K ν ( z e - π i / 2 ) + e ν π i / 2 K ν ( z e π i / 2 ) , 𝜋 Bessel-Y-Weber 𝜈 𝑧 superscript 𝑒 𝜈 𝜋 𝑖 2 modified-Bessel-second-kind 𝜈 𝑧 superscript 𝑒 𝜋 𝑖 2 superscript 𝑒 𝜈 𝜋 𝑖 2 modified-Bessel-second-kind 𝜈 𝑧 superscript 𝑒 𝜋 𝑖 2 {\displaystyle{\displaystyle-\pi Y_{\nu}\left(z\right)=e^{-\nu\pi i/2}K_{\nu}% \left(ze^{-\pi i/2}\right)+e^{\nu\pi i/2}K_{\nu}\left(ze^{\pi i/2}\right),}}
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    DLMF:10.27.E10
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    | ph z | 1 2 π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi}}
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