DLMF:3.7.E18 (Q1353)

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DLMF:3.7.E18
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    Statements

    Defining formula
    w n + 1 = w n + 1 6 ⁢ ( k 1 + 2 ⁢ k 2 + 2 ⁢ k 3 + k 4 ) + O ⁡ ( h 5 ) , subscript 𝑤 𝑛 1 subscript 𝑤 𝑛 1 6 subscript 𝑘 1 2 subscript 𝑘 2 2 subscript 𝑘 3 subscript 𝑘 4 Big-O superscript ℎ 5 {\displaystyle{\displaystyle w_{n+1}=w_{n}+\tfrac{1}{6}(k_{1}+2k_{2}+2k_{3}+k_% {4})+O\left(h^{5}\right),}}
    0 references
    DLMF id
    DLMF:3.7.E18
    0 references
    Symbols used
    order not exceeding
    Defining formula
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2adec
    0 references
    Q11188
    Defining formula
    w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    xml-id
    C3.S7.XMD1.m1gdec
    0 references
    function (locally)
    Defining formula
    h ⁢ ( z ) ℎ 𝑧 {\displaystyle{\displaystyle h(z)}}
    xml-id
    C3.S7.XMD4.m1edec
    0 references
     
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