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3.9.E9 - MaRDI portal

3.9.E9 (Q1378)

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3.9.E9
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    Statements

    DLMF defining formula
    t n , 2 ⁢ k = H k + 1 ⁢ ( s n ) H k ⁢ ( Δ 2 ⁢ s n ) , subscript 𝑡 𝑛 2 𝑘 subscript 𝐻 𝑘 1 subscript 𝑠 𝑛 subscript 𝐻 𝑘 superscript Δ 2 subscript 𝑠 𝑛 {\displaystyle{\displaystyle t_{n,2k}=\frac{H_{k+1}(s_{n})}{H_{k}(\Delta^{2}s_% {n})},}}
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    comment
    Warning: Falling back to standard tex;
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    constraint
    n = 0 , 1 , 2 , … 𝑛 0 1 2 … {\displaystyle{\displaystyle n=0,1,2,\dots}}
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    Symbols used
    sequence
    DLMF defining formula
    s n subscript 𝑠 𝑛 {\displaystyle{\displaystyle s_{n}}}
    xml-id
    C3.S9.XMD1.m1cdec
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    sequence
    DLMF defining formula
    t n subscript 𝑡 𝑛 {\displaystyle{\displaystyle t_{n}}}
    xml-id
    C3.S9.XMD2.m1bdec
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    Hankel determinant (locally)
    DLMF defining formula
    H m ⁢ ( u ) subscript 𝐻 𝑚 𝑢 {\displaystyle{\displaystyle H_{m}(u)}}
    xml-id
    C3.S9.XMD5.m1dec
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    Identifiers

     
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