DLMF:7.14.E6 (Q2438)

From DRMF
Revision as of 17:08, 30 December 2019 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:7.14.E6
No description defined

    Statements

    Defining formula
    ∫ 0 ∞ e - a ⁢ t ⁢ S ⁡ ( t ) ⁢ d t = 1 a ⁢ g ⁡ ( a π ) , superscript subscript 0 superscript 𝑒 𝑎 𝑡 Fresnel-sine-integral 𝑡 𝑡 1 𝑎 Fresnel-auxilliary-function-g 𝑎 𝜋 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}S\left(t\right)\mathrm{d}t% =\frac{1}{a}\mathrm{g}\left(\frac{a}{\pi}\right),}}
    0 references
    DLMF id
    DLMF:7.14.E6
    0 references
    constraint
    ℜ ⁡ a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2438&oldid=18100"