DLMF:2.9.E2 (Q974)

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DLMF:2.9.E2
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    Statements

    Defining formula
    Δ 2 w ⁢ ( n ) + ( 2 + f ⁢ ( n ) ) ⁢ Δ w ⁢ ( n ) + ( 1 + f ⁢ ( n ) + g ⁢ ( n ) ) ⁢ w ⁢ ( n ) = 0 , superscript forward-difference 2 𝑤 𝑛 2 𝑓 𝑛 forward-difference 𝑤 𝑛 1 𝑓 𝑛 𝑔 𝑛 𝑤 𝑛 0 {\displaystyle{\displaystyle\Delta^{2}w(n)+(2+f(n))\Delta w(n)+(1+f(n)+g(n))w(% n)=0,}}
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    DLMF id
    DLMF:2.9.E2
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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
    Q11097
    Defining formula
    Δ forward-difference {\displaystyle{\displaystyle\Delta}}
    xml-id
    C3.S6.SS1.p1.m2adec
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    Q11093
    Defining formula
    f ⁢ ( n ) 𝑓 𝑛 {\displaystyle{\displaystyle f(n)}}
    xml-id
    C2.S9.XMD1.m1adec
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    Q11094
    Defining formula
    g ⁢ ( n ) 𝑔 𝑛 {\displaystyle{\displaystyle g(n)}}
    xml-id
    C2.S9.XMD2.m1adec
    0 references
    Q11095
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C2.S9.XMD3.m1adec
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