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DLMF:12.10#Ex22 - MaRDI portal

DLMF:12.10#Ex22 (Q4905)

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DLMF:12.10#Ex22
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    DLMF defining formula
    A s ⁢ ( ζ ) = ζ - 3 ⁢ s ⁢ ∑ m = 0 2 ⁢ s β m ⁢ ( ϕ ⁢ ( ζ ) ) 6 ⁢ ( 2 ⁢ s - m ) ⁢ u 2 ⁢ s - m ⁢ ( t ) , subscript 𝐴 𝑠 𝜁 superscript 𝜁 3 𝑠 superscript subscript 𝑚 0 2 𝑠 subscript 𝛽 𝑚 superscript italic-ϕ 𝜁 6 2 𝑠 𝑚 subscript 𝑢 2 𝑠 𝑚 𝑡 {\displaystyle{\displaystyle A_{s}(\zeta)=\zeta^{-3s}\sum_{m=0}^{2s}\beta_{m}(% \phi(\zeta))^{6(2s-m)}u_{2s-m}(t),}}
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