DLMF:10.45.E8 (Q3665)

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DLMF:10.45.E8
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    Statements

    Defining formula
    K ~ 0 ⁡ ( x ) = K 0 ⁡ ( x ) = - ln ⁡ ( 1 2 ⁢ x ) - γ + O ⁡ ( x 2 ⁢ ln ⁡ x ) , modified-Bessel-second-kind-imaginary-order 0 𝑥 modified-Bessel-second-kind 0 𝑥 1 2 𝑥 Big-O superscript 𝑥 2 𝑥 {\displaystyle{\displaystyle\widetilde{K}_{0}\left(x\right)=K_{0}\left(x\right% )=-\ln\left(\tfrac{1}{2}x\right)-\gamma+O\left(x^{2}\ln x\right),}}
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    DLMF id
    DLMF:10.45.E8
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