DLMF:3.5.E14 (Q1252)

From DRMF
Revision as of 17:50, 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:3.5.E14
No description defined

    Statements

    Defining formula
    ∫ 0 ∞ e - p ⁢ t ⁢ J 0 ⁡ ( t ) ⁢ d t = 1 p 2 + 1 superscript subscript 0 superscript 𝑒 𝑝 𝑡 Bessel-J 0 𝑡 𝑡 1 superscript 𝑝 2 1 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-pt}J_{0}\left(t\right)\mathrm% {d}t=\frac{1}{\sqrt{p^{2}+1}}}}
    0 references
    DLMF id
    DLMF:3.5.E14
    0 references
    Symbols used
    Bessel function of the first kind
    Defining formula
    J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E2.m2adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1252&oldid=26201"