DLMF:33.20.E8 (Q9677)

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DLMF:33.20.E8
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    Statements

    test
    𝖧 k ⁢ ( ℓ ; r ) = ∑ p = 2 ⁢ k 3 ⁢ k ( 2 ⁢ r ) ( p + 1 ) / 2 ⁢ C k , p ⁢ Y 2 ⁢ ℓ + 1 + p ⁡ ( 8 ⁢ r ) , subscript 𝖧 𝑘 ℓ 𝑟 superscript subscript 𝑝 2 𝑘 3 𝑘 superscript 2 𝑟 𝑝 1 2 subscript 𝐶 𝑘 𝑝 Bessel-Y-Weber 2 ℓ 1 𝑝 8 𝑟 {\displaystyle{\displaystyle{\sf H}_{k}(\ell;r)=\sum_{p=2k}^{3k}(2r)^{(p+1)/2}% C_{k,p}Y_{2\ell+1+p}\left(\sqrt{8r}\right),}}
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    DLMF id
    DLMF:33.20.E8
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    constraint
    r > 0 𝑟 0 {\displaystyle{\displaystyle r>0}}
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