DLMF:2.3.E21 (Q740)

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DLMF:2.3.E21
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    Statements

    Defining formula
    P s ⁢ ( t ) = ( 1 p ′ ⁢ ( t ) ⁢ d d t ) s ⁡ q ⁢ ( t ) p ′ ⁢ ( t ) , subscript 𝑃 𝑠 𝑡 superscript 1 superscript 𝑝 ′ 𝑡 derivative 𝑡 𝑠 𝑞 𝑡 superscript 𝑝 ′ 𝑡 {\displaystyle{\displaystyle P_{s}(t)=\left(\frac{1}{p^{\prime}(t)}\frac{% \mathrm{d}}{\mathrm{d}t}\right)^{s}\frac{q(t)}{p^{\prime}(t)},}}
    0 references
    DLMF id
    DLMF:2.3.E21
    0 references
    constraint
    s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}
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    Symbols used
    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2adec
    0 references
    Q10958
    Defining formula
    p ⁢ ( t ) 𝑝 𝑡 {\displaystyle{\displaystyle p(t)}}
    xml-id
    C2.S3.XMD17.m1fdec
    0 references
    function (locally)
    Defining formula
    q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}
    xml-id
    C2.S3.XMD6.m1gdec
    0 references
     
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