DLMF:2.8.E13 (Q947)

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DLMF:2.8.E13
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    Statements

    Defining formula
    A s + 1 ⁢ ( ξ ) = - 1 2 ⁢ A s ′ ⁢ ( ξ ) + 1 2 ⁢ ∫ ψ ⁢ ( ξ ) ⁢ A s ⁢ ( ξ ) ⁢ d ξ , subscript 𝐴 𝑠 1 𝜉 1 2 superscript subscript 𝐴 𝑠 ′ 𝜉 1 2 𝜓 𝜉 subscript 𝐴 𝑠 𝜉 𝜉 {\displaystyle{\displaystyle A_{s+1}(\xi)=-\tfrac{1}{2}A_{s}^{\prime}(\xi)+% \tfrac{1}{2}\int\psi(\xi)A_{s}(\xi)\mathrm{d}\xi,}}
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    DLMF id
    DLMF:2.8.E13
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    constraint
    s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}
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