DLMF:12.10.E33 (Q4197)

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DLMF:12.10.E33
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    Defining formula
    𝖠 s + 1 ⁢ ( τ ) = - 4 ⁢ τ 2 ⁢ ( τ + 1 ) 2 ⁢ d d τ ⁡ 𝖠 s ⁢ ( τ ) - 1 4 ⁢ ∫ 0 τ ( 20 ⁢ u 2 + 20 ⁢ u + 3 ) ⁢ 𝖠 s ⁢ ( u ) ⁢ d u , subscript 𝖠 𝑠 1 𝜏 4 superscript 𝜏 2 superscript 𝜏 1 2 derivative 𝜏 subscript 𝖠 𝑠 𝜏 1 4 superscript subscript 0 𝜏 20 superscript 𝑢 2 20 𝑢 3 subscript 𝖠 𝑠 𝑢 𝑢 {\displaystyle{\displaystyle\mathsf{A}_{s+1}(\tau)=-4\tau^{2}(\tau+1)^{2}\frac% {\mathrm{d}}{\mathrm{d}\tau}\mathsf{A}_{s}(\tau)-\frac{1}{4}\int_{0}^{\tau}% \left(20u^{2}+20u+3\right)\mathsf{A}_{s}(u)\mathrm{d}u,}}
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    DLMF id
    DLMF:12.10.E33
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