DLMF:2.8.E27 (Q962)

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DLMF:2.8.E27
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    Statements

    Defining formula
    B s ⁢ ( ξ ) = - A s ′ ⁢ ( ξ ) + 1 ξ 1 / 2 ⁢ ∫ 0 ξ ( ψ ⁢ ( v ) ⁢ A s ⁢ ( v ) - ( ν + 1 2 ) ⁢ A s ′ ⁢ ( v ) ) ⁢ d v v 1 / 2 , subscript 𝐵 𝑠 𝜉 superscript subscript 𝐴 𝑠 ′ 𝜉 1 superscript 𝜉 1 2 superscript subscript 0 𝜉 𝜓 𝑣 subscript 𝐴 𝑠 𝑣 𝜈 1 2 superscript subscript 𝐴 𝑠 ′ 𝑣 𝑣 superscript 𝑣 1 2 {\displaystyle{\displaystyle B_{s}(\xi)=-A_{s}^{\prime}(\xi)+\frac{1}{\xi^{1/2% }}\int_{0}^{\xi}\left(\psi(v)A_{s}(v)-\left(\nu+\tfrac{1}{2}\right)A_{s}^{% \prime}(v)\right)\frac{\mathrm{d}v}{v^{1/2}},}}
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    DLMF id
    DLMF:2.8.E27
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