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DLMF:12.10.E12 - MaRDI portal

DLMF:12.10.E12 (Q4867)

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DLMF:12.10.E12
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    Statements

    DLMF defining formula
    8 ⁢ r s ⁢ ( t ) = ( 3 ⁢ t 2 + 2 ) ⁢ u s ⁢ ( t ) - 12 ⁢ ( s + 1 ) ⁢ t ⁢ r s - 1 ⁢ ( t ) + 4 ⁢ ( t 2 - 1 ) ⁢ r s - 1 ′ ⁢ ( t ) , 8 subscript 𝑟 𝑠 𝑡 3 superscript 𝑡 2 2 subscript 𝑢 𝑠 𝑡 12 𝑠 1 𝑡 subscript 𝑟 𝑠 1 𝑡 4 superscript 𝑡 2 1 subscript superscript 𝑟 ′ 𝑠 1 𝑡 {\displaystyle{\displaystyle 8r_{s}(t)=(3t^{2}+2)u_{s}(t)-12(s+1)tr_{s-1}(t)+4% (t^{2}-1)r^{\prime}_{s-1}(t),}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    nonnegative integer
    DLMF defining formula
    s 𝑠 {\displaystyle{\displaystyle s}}
    xml-id
    C12.S1.XMD5.m1hdec
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    solution
    DLMF defining formula
    u s ⁢ ( t ) subscript 𝑢 𝑠 𝑡 {\displaystyle{\displaystyle u_{s}(t)}}
    xml-id
    C12.S10.XMD4.m1cdec
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    Identifiers

     
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