DLMF:10.22.E35 (Q3409)

From testwiki
Revision as of 17:19, 30 December 2019 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:10.22.E35
No description defined

    Statements

    test
    ∫ 0 x J μ ⁡ ( t ) ⁢ J ν ⁡ ( x - t ) ⁢ d t t ⁢ ( x - t ) = ( μ + ν ) ⁢ J μ + ν ⁡ ( x ) μ ⁢ ν ⁢ x , superscript subscript 0 𝑥 Bessel-J 𝜇 𝑡 Bessel-J 𝜈 𝑥 𝑡 𝑡 𝑡 𝑥 𝑡 𝜇 𝜈 Bessel-J 𝜇 𝜈 𝑥 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\int_{0}^{x}\frac{J_{\mu}\left(t\right)J_{\nu}% \left(x-t\right)\mathrm{d}t}{t(x-t)}=\frac{(\mu+\nu)J_{\mu+\nu}\left(x\right)}% {\mu\nu x},}}
    0 references
    DLMF id
    DLMF:10.22.E35
    0 references
    constraint
    ℜ ⁡ μ > 0 , ℜ ⁡ ν > 0 formulae-sequence 𝜇 0 𝜈 0 {\displaystyle{\displaystyle\Re\mu>0,\Re\nu>0}}
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q3409&oldid=17855"