DLMF:18.38.E2 (Q6058)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:18.38.E2
No description defined

    Statements

    Defining formula
    ( d 2 / d x 2 ) ⁡ ln ⁡ V n ⁢ ( x ) = V n + 1 ⁢ ( x ) + V n - 1 ⁢ ( x ) - 2 ⁢ V n ⁢ ( x ) , derivative 𝑥 2 subscript 𝑉 𝑛 𝑥 subscript 𝑉 𝑛 1 𝑥 subscript 𝑉 𝑛 1 𝑥 2 subscript 𝑉 𝑛 𝑥 {\displaystyle{\displaystyle(\ifrac{{\mathrm{d}}^{2}}{{\mathrm{d}x}^{2}})\ln V% _{n}(x)=V_{n+1}(x)+V_{n-1}(x)-2V_{n}(x),}}
    0 references
    DLMF id
    DLMF:18.38.E2
    0 references
    constraint
    n = 1 , 2 , … 𝑛 1 2 … {\displaystyle{\displaystyle n=1,2,\dots}}
    0 references
    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
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1adec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6058&oldid=37564"