DLMF:1.5.E18 (Q141)

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DLMF:1.5.E18
No description defined

    Statements

    Defining formula
    f ⁢ ( a + λ , b + μ ) = f + ( λ ⁢ ∂ ∂ ⁡ x + μ ⁢ ∂ ∂ ⁡ y ) ⁢ f + … + 1 n ! ⁢ ( λ ⁢ ∂ ∂ ⁡ x + μ ⁢ ∂ ∂ ⁡ y ) n ⁢ f + R n , 𝑓 𝑎 𝜆 𝑏 𝜇 𝑓 𝜆 partial-derivative 𝑥 𝜇 partial-derivative 𝑦 𝑓 … 1 𝑛 superscript 𝜆 partial-derivative 𝑥 𝜇 partial-derivative 𝑦 𝑛 𝑓 subscript 𝑅 𝑛 {\displaystyle{\displaystyle f(a+\lambda,b+\mu)=f+\left(\lambda\frac{\partial}% {\partial x}+\mu\frac{\partial}{\partial y}\right)f+\dots+\frac{1}{n!}\left(% \lambda\frac{\partial}{\partial x}+\mu\frac{\partial}{\partial y}\right)^{n}f+% R_{n},}}
    0 references
    DLMF id
    DLMF:1.5.E18
    0 references
    Symbols used
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    partial derivative of $$f$$ with respect to $$x$$
    Defining formula
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4akdec
    0 references
    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2aldec
    0 references
    Q10757
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1dec
    0 references
    Q10776
    Defining formula
    R n subscript 𝑅 𝑛 {\displaystyle{\displaystyle R_{n}}}
    xml-id
    C1.S4.XMD8.m1dec
    0 references
     
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