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DLMF:12.10.E13 - MaRDI portal

DLMF:12.10.E13 (Q4868)

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DLMF:12.10.E13
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    Statements

    DLMF defining formula
    v s ⁢ ( t ) = u s ⁢ ( t ) + 1 2 ⁢ t ⁢ u s - 1 ⁢ ( t ) - r s - 2 ⁢ ( t ) . subscript 𝑣 𝑠 𝑡 subscript 𝑢 𝑠 𝑡 1 2 𝑡 subscript 𝑢 𝑠 1 𝑡 subscript 𝑟 𝑠 2 𝑡 {\displaystyle{\displaystyle v_{s}(t)=u_{s}(t)+\tfrac{1}{2}tu_{s-1}(t)-r_{s-2}% (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.m1idec
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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.m1ddec
    0 references
    solution
    DLMF defining formula
    v s ⁢ ( t ) subscript 𝑣 𝑠 𝑡 {\displaystyle{\displaystyle v_{s}(t)}}
    xml-id
    C12.S10.XMD5.m1bdec
    0 references
    polynomial (locally)
    DLMF defining formula
    r s ⁢ ( t ) subscript 𝑟 𝑠 𝑡 {\displaystyle{\displaystyle r_{s}(t)}}
    xml-id
    C12.S10.XMD6.m1bdec
    0 references

    Identifiers

     
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