DLMF:14.17.E20 (Q4901)

From DRMF
Revision as of 17:53, 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:14.17.E20
No description defined

    Statements

    Defining formula
    ∫ 1 ∞ ( Q ν ⁡ ( x ) ) 2 ⁢ d x = ψ ′ ⁡ ( ν + 1 ) 2 ⁢ ν + 1 , superscript subscript 1 superscript shorthand-Legendre-Q-second-kind 𝜈 𝑥 2 𝑥 diffop digamma 1 𝜈 1 2 𝜈 1 {\displaystyle{\displaystyle\int_{1}^{\infty}(Q_{\nu}\left(x\right))^{2}% \mathrm{d}x=\frac{\psi'\left(\nu+1\right)}{2\nu+1},}}
    0 references
    DLMF id
    DLMF:14.17.E20
    0 references
    constraint
    ℜ ⁡ ν > - 1 2 𝜈 1 2 {\displaystyle{\displaystyle\Re\nu>-\tfrac{1}{2}}}
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4901&oldid=18945"