DLMF:10.38.E2 (Q3561)

From testwiki
Revision as of 14:57, 29 December 2019 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:10.38.E2
No description defined

    Statements

    test
    ∂ ⁡ K ν ⁡ ( z ) ∂ ⁡ ν = 1 2 ⁢ π ⁢ csc ⁡ ( ν ⁢ π ) ⁢ ( ∂ ⁡ I - ν ⁡ ( z ) ∂ ⁡ ν - ∂ ⁡ I ν ⁡ ( z ) ∂ ⁡ ν ) - π ⁢ cot ⁡ ( ν ⁢ π ) ⁢ K ν ⁡ ( z ) , partial-derivative modified-Bessel-second-kind 𝜈 𝑧 𝜈 1 2 𝜋 𝜈 𝜋 partial-derivative modified-Bessel-first-kind 𝜈 𝑧 𝜈 partial-derivative modified-Bessel-first-kind 𝜈 𝑧 𝜈 𝜋 𝜈 𝜋 modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle\frac{\partial K_{\nu}\left(z\right)}{\partial\nu}% =\tfrac{1}{2}\pi\csc\left(\nu\pi\right)\*\left(\frac{\partial I_{-\nu}\left(z% \right)}{\partial\nu}-\frac{\partial I_{\nu}\left(z\right)}{\partial\nu}\right% )-\pi\cot\left(\nu\pi\right)K_{\nu}\left(z\right),}}
    0 references
    DLMF id
    DLMF:10.38.E2
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q3561&oldid=19024"