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2.9.E1 - MaRDI portal

2.9.E1 (Q944)

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2.9.E1
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    Statements

    DLMF defining formula
    w ⁢ ( n + 2 ) + f ⁢ ( n ) ⁢ w ⁢ ( n + 1 ) + g ⁢ ( n ) ⁢ w ⁢ ( n ) = 0 , 𝑤 𝑛 2 𝑓 𝑛 𝑤 𝑛 1 𝑔 𝑛 𝑤 𝑛 0 {\displaystyle{\displaystyle{w(n+2)+f(n)w(n+1)+g(n)w(n)=0},}}
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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
    function
    DLMF defining formula
    f ⁢ ( n ) 𝑓 𝑛 {\displaystyle{\displaystyle f(n)}}
    xml-id
    C2.S9.XMD1.m1dec
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    function
    DLMF defining formula
    g ⁢ ( n ) 𝑔 𝑛 {\displaystyle{\displaystyle g(n)}}
    xml-id
    C2.S9.XMD2.m1dec
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    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C2.S9.XMD3.m1dec
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    solution
    DLMF defining formula
    w ⁢ ( n ) 𝑤 𝑛 {\displaystyle{\displaystyle w(n)}}
    xml-id
    C2.S9.XMD4.m1dec
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    Identifiers

     
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