DLMF:18.28.E20 (Q5995)

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DLMF:18.28.E20
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    Statements

    Defining formula
    ∑ y = 0 N R n ⁢ ( q - y + γ ⁢ δ ⁢ q y + 1 ) ⁢ R m ⁢ ( q - y + γ ⁢ δ ⁢ q y + 1 ) ⁢ ω y = h n ⁢ δ n , m , superscript subscript 𝑦 0 𝑁 subscript 𝑅 𝑛 superscript 𝑞 𝑦 𝛾 𝛿 superscript 𝑞 𝑦 1 subscript 𝑅 𝑚 superscript 𝑞 𝑦 𝛾 𝛿 superscript 𝑞 𝑦 1 subscript 𝜔 𝑦 subscript ℎ 𝑛 Kronecker 𝑛 𝑚 {\displaystyle{\displaystyle\sum_{y=0}^{N}R_{n}(q^{-y}+\gamma\delta q^{y+1})R_% {m}(q^{-y}+\gamma\delta q^{y+1})\omega_{y}=h_{n}\delta_{n,m},}}
    0 references
    DLMF id
    DLMF:18.28.E20
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    constraint
    n , m = 0 , 1 , … , N formulae-sequence 𝑛 𝑚 0 1 … 𝑁 {\displaystyle{\displaystyle n,m=0,1,\dots,N}}
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    Symbols used
    Q10768
    Defining formula
    δ j , k Kronecker 𝑗 𝑘 {\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}
    xml-id
    introduction.Sx4.p1.t1.r4.m5afdec
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    Q11743
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C18.S1.XMD1.m1cdec
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    Q11728
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C18.S1.XMD3.m1qdec
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    Q11730
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1fdec
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    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1odec
    0 references
    Q11736
    Defining formula
    N 𝑁 {\displaystyle{\displaystyle N}}
    xml-id
    C18.S1.XMD7.m1adec
    0 references
    Q11754
    Defining formula
    δ 𝛿 {\displaystyle{\displaystyle\delta}}
    xml-id
    C18.S1.XMD8.m1adec
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    DLMF:18.2.E5
    Defining formula
    h n subscript ℎ 𝑛 {\displaystyle{\displaystyle h_{n}}}
    xml-id
    C18.S2.XMD4.m1ddec
    0 references
    DLMF:18.28.E19
    Defining formula
    R n ⁢ ( x ) subscript 𝑅 𝑛 𝑥 {\displaystyle{\displaystyle R_{n}(x)}}
    xml-id
    C18.S28.XMD1.m1adec
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