DLMF:10.22.E13 (Q3387): Difference between revisions

From testwiki
Jump to navigation Jump to search
Newer edit →
imported>Admin
 
imported>Admin
Property / constraint
 

ℜ ⁡ ν > - 1 2 𝜈 1 2 {\displaystyle{\displaystyle\Re\nu>-\tfrac{1}{2}}}

\realpart@@{\nu}>-\tfrac{1}{2}
Property / constraint: ℜ ⁡ ν > - 1 2 𝜈 1 2 {\displaystyle{\displaystyle\Re\nu>-\tfrac{1}{2}}} / rank
 
Normal rank

Revision as of 17:19, 30 December 2019

No description defined
Language Label Description Also known as
English
DLMF:10.22.E13
No description defined

    Statements

    test
    ∫ 0 1 2 ⁢ π J 2 ⁢ ν ⁡ ( 2 ⁢ z ⁢ cos ⁡ θ ) ⁢ cos ⁡ ( 2 ⁢ μ ⁢ θ ) ⁢ d θ = 1 2 ⁢ π ⁢ J ν + μ ⁡ ( z ) ⁢ J ν - μ ⁡ ( z ) , superscript subscript 0 1 2 𝜋 Bessel-J 2 𝜈 2 𝑧 𝜃 2 𝜇 𝜃 𝜃 1 2 𝜋 Bessel-J 𝜈 𝜇 𝑧 Bessel-J 𝜈 𝜇 𝑧 {\displaystyle{\displaystyle\int_{0}^{\frac{1}{2}\pi}J_{2\nu}\left(2z\cos% \theta\right)\cos\left(2\mu\theta\right)\mathrm{d}\theta=\tfrac{1}{2}\pi J_{% \nu+\mu}\left(z\right)J_{\nu-\mu}\left(z\right),}}
    0 references
    DLMF id
    DLMF:10.22.E13
    0 references
    constraint
    ℜ ⁡ ν > - 1 2 𝜈 1 2 {\displaystyle{\displaystyle\Re\nu>-\tfrac{1}{2}}}
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q3387&oldid=17623"