DLMF:3.7.E2 (Q1325)

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DLMF:3.7.E2
No description defined

    Statements

    Defining formula
    w ( s ) ⁢ ( z ) = f s ⁢ ( z ) ⁢ w ⁢ ( z ) + g s ⁢ ( z ) ⁢ w ′ ⁢ ( z ) + h s ⁢ ( z ) , superscript 𝑤 𝑠 𝑧 subscript 𝑓 𝑠 𝑧 𝑤 𝑧 subscript 𝑔 𝑠 𝑧 superscript 𝑤 ′ 𝑧 subscript ℎ 𝑠 𝑧 {\displaystyle{\displaystyle w^{(s)}(z)=f_{s}(z)w(z)+g_{s}(z)w^{\prime}(z)+h_{% s}(z),}}
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    DLMF id
    DLMF:3.7.E2
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    comment
    Warning: Falling back to standard tex;
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    constraint
    s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}
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    Symbols used
    Q11188
    Defining formula
    w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    xml-id
    C3.S7.XMD1.m1adec
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    Q11189
    Defining formula
    g s ⁢ ( z ) subscript 𝑔 𝑠 𝑧 {\displaystyle{\displaystyle g_{s}(z)}}
    xml-id
    C3.S7.XMD10.m1dec
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    function (locally)
    Defining formula
    h ⁢ ( z ) ℎ 𝑧 {\displaystyle{\displaystyle h(z)}}
    xml-id
    C3.S7.XMD4.m1adec
    0 references
    Q11190
    Defining formula
    f s ⁢ ( z ) subscript 𝑓 𝑠 𝑧 {\displaystyle{\displaystyle f_{s}(z)}}
    xml-id
    C3.S7.XMD9.m1dec
    0 references
     
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