DLMF:1.17.E3 (Q662)

From DRMF
Revision as of 16:42, 1 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:1.17.E3
No description defined

    Statements

    Defining formula
    lim n → ∞ ⁡ ∫ - ∞ ∞ δ n ⁡ ( x - a ) ⁢ ϕ ⁢ ( x ) ⁢ d x = ϕ ⁢ ( a ) , subscript → 𝑛 superscript subscript Dirac-delta-sequence 𝑛 𝑥 𝑎 italic-ϕ 𝑥 𝑥 italic-ϕ 𝑎 {\displaystyle{\displaystyle\lim_{n\to\infty}\int_{-\infty}^{\infty}\delta_{n}% \left(x-a\right)\phi(x)\mathrm{d}x=\phi(a),}}
    0 references
    DLMF id
    DLMF:1.17.E3
    0 references
    Symbols used
    Q10917
    Defining formula
    δ n ⁡ ( x ) Dirac-delta-sequence 𝑛 𝑥 {\displaystyle{\displaystyle\delta_{n}\left(\NVar{x}\right)}}
    xml-id
    C1.S17.SS1.p1.m6adec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q662&oldid=23828"