DLMF:10.68.E17 (Q3887)

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DLMF:10.68.E17
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    ln M ν ( x ) = x 2 - 1 2 ln ( 2 π x ) - μ - 1 8 2 1 x - ( μ - 1 ) ( μ - 25 ) 384 2 1 x 3 - ( μ - 1 ) ( μ - 13 ) 128 1 x 4 + O ( 1 x 5 ) , modulus-Bessel-M 𝜈 𝑥 𝑥 2 1 2 2 𝜋 𝑥 𝜇 1 8 2 1 𝑥 𝜇 1 𝜇 25 384 2 1 superscript 𝑥 3 𝜇 1 𝜇 13 128 1 superscript 𝑥 4 Big-O 1 superscript 𝑥 5 {\displaystyle{\displaystyle\ln M_{\nu}\left(x\right)=\frac{x}{\sqrt{2}}-\frac% {1}{2}\ln\left(2\pi x\right)-\frac{\mu-1}{8\sqrt{2}}\frac{1}{x}-\frac{(\mu-1)(% \mu-25)}{384\sqrt{2}}\frac{1}{x^{3}}-\frac{(\mu-1)(\mu-13)}{128}\frac{1}{x^{4}% }+O\left(\frac{1}{x^{5}}\right),}}
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    DLMF:10.68.E17
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