DLMF:19.29.E18 (Q6646)

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DLMF:19.29.E18
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    Statements

    Defining formula
    b j q ⁢ I ⁢ ( q ⁢ 𝐞 l ) = ∑ r = 0 q ( q r ) ⁢ b l r ⁢ d l ⁢ j q - r ⁢ I ⁢ ( r ⁢ 𝐞 j ) , superscript subscript 𝑏 𝑗 𝑞 𝐼 𝑞 subscript 𝐞 𝑙 superscript subscript 𝑟 0 𝑞 binomial 𝑞 𝑟 superscript subscript 𝑏 𝑙 𝑟 superscript subscript 𝑑 𝑙 𝑗 𝑞 𝑟 𝐼 𝑟 subscript 𝐞 𝑗 {\displaystyle{\displaystyle b_{j}^{q}I(q\mathbf{e}_{l})=\sum_{r=0}^{q}% \genfrac{(}{)}{0.0pt}{}{q}{r}b_{l}^{r}d_{lj}^{q-r}I(r\mathbf{e}_{j}),}}
    0 references
    DLMF id
    DLMF:19.29.E18
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    constraint
    j , l = 1 , 2 , … , n formulae-sequence 𝑗 𝑙 1 2 … 𝑛 {\displaystyle{\displaystyle j,l=1,2,\dots,n}}
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    Symbols used
    Q10754
    Defining formula
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1adec
    0 references
    Q11855
    Defining formula
    l 𝑙 {\displaystyle{\displaystyle l}}
    xml-id
    C19.S1.XMD1.m1adec
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    Q11820
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C19.S1.XMD3.m1edec
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    Q11906
    Defining formula
    I ⁢ ( 𝐦 ) 𝐼 𝐦 {\displaystyle{\displaystyle I(\mathbf{m})}}
    xml-id
    C19.S29.XMD13.m1edec
    0 references
     
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