DLMF:10.24.E8 (Q3486)

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DLMF:10.24.E8
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    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),}}
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