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DLMF:12.10.E11 - MaRDI portal

DLMF:12.10.E11 (Q4866)

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DLMF:12.10.E11
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    Statements

    DLMF defining formula
    ( t 2 - 1 ) ⁢ u s ′ ⁢ ( t ) - 3 ⁢ s ⁢ t ⁢ u s ⁢ ( t ) = r s - 1 ⁢ ( t ) , superscript 𝑡 2 1 subscript superscript 𝑢 ′ 𝑠 𝑡 3 𝑠 𝑡 subscript 𝑢 𝑠 𝑡 subscript 𝑟 𝑠 1 𝑡 {\displaystyle{\displaystyle(t^{2}-1)u^{\prime}_{s}(t)-3stu_{s}(t)=r_{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.m1gdec
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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.m1bdec
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    polynomial (locally)
    DLMF defining formula
    r s ⁢ ( t ) subscript 𝑟 𝑠 𝑡 {\displaystyle{\displaystyle r_{s}(t)}}
    xml-id
    C12.S10.XMD6.m1dec
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    Identifiers

     
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