DLMF:10.24.E8 (Q3486): Difference between revisions

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imported>Admin
Property / constraint
 

ν > 0 𝜈 0 {\displaystyle{\displaystyle\nu>0}}

\nu>0
Property / constraint: ν > 0 𝜈 0 {\displaystyle{\displaystyle\nu>0}} / rank
 
Normal rank

Revision as of 16:38, 30 December 2019

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DLMF:10.24.E8
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    Statements

    test
    Y ~ ν ⁡ ( x ) = ( 2 ⁢ coth ⁡ ( 1 2 ⁢ π ⁢ ν ) π ⁢ ν ) 1 2 ⁢ sin ⁡ ( ν ⁢ ln ⁡ ( 1 2 ⁢ x ) - γ ν ) + O ⁡ ( x 2 ) , Bessel-Y-Weber-imaginary-order 𝜈 𝑥 superscript 2 hyperbolic-cotangent 1 2 𝜈 𝜈 1 2 𝜈 1 2 𝑥 subscript 𝛾 𝜈 Big-O superscript 𝑥 2 {\displaystyle{\displaystyle\widetilde{Y}_{\nu}\left(x\right)=\left(\frac{2% \coth\left(\frac{1}{2}\pi\nu\right)}{\pi\nu}\right)^{\frac{1}{2}}\*\sin\left(% \nu\ln\left(\tfrac{1}{2}x\right)-\gamma_{\nu}\right)+O\left(x^{2}\right),}}
    0 references
    DLMF id
    DLMF:10.24.E8
    0 references
    constraint
    ν > 0 𝜈 0 {\displaystyle{\displaystyle\nu>0}}
    0 references
     
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