DLMF:3.6.E2 (Q1306)

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DLMF:3.6.E2
No description defined

    Statements

    Defining formula
    a n ⁢ Δ 2 w n - 1 + ( 2 ⁢ a n - b n ) ⁢ Δ w n - 1 + ( a n - b n + c n ) ⁢ w n - 1 = d n , subscript 𝑎 𝑛 superscript forward-difference 2 subscript 𝑤 𝑛 1 2 subscript 𝑎 𝑛 subscript 𝑏 𝑛 forward-difference subscript 𝑤 𝑛 1 subscript 𝑎 𝑛 subscript 𝑏 𝑛 subscript 𝑐 𝑛 subscript 𝑤 𝑛 1 subscript 𝑑 𝑛 {\displaystyle{\displaystyle a_{n}\Delta^{2}w_{n-1}+(2a_{n}-b_{n})\Delta w_{n-% 1}+(a_{n}-b_{n}+c_{n})w_{n-1}=d_{n},}}
    0 references
    DLMF id
    DLMF:3.6.E2
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    Symbols used
    Q11097
    Defining formula
    Δ forward-difference {\displaystyle{\displaystyle\Delta}}
    xml-id
    C3.S6.SS1.p1.m2adec
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    Q11179
    Defining formula
    w n subscript 𝑤 𝑛 {\displaystyle{\displaystyle w_{n}}}
    xml-id
    C3.S6.XMD1.m1adec
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    coefficient (locally)
    Defining formula
    a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}
    xml-id
    C3.S6.XMD2.m1adec
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    coefficient (locally)
    Defining formula
    b n subscript 𝑏 𝑛 {\displaystyle{\displaystyle b_{n}}}
    xml-id
    C3.S6.XMD3.m1adec
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    coefficient (locally)
    Defining formula
    c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}}
    xml-id
    C3.S6.XMD4.m1adec
    0 references
    coefficient (locally)
    Defining formula
    d n subscript 𝑑 𝑛 {\displaystyle{\displaystyle d_{n}}}
    xml-id
    C3.S6.XMD5.m1adec
    0 references
     
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