DLMF:19.8.E20 (Q6238)

From DRMF
Revision as of 17:43, 29 December 2019 by Admin (talk | contribs) (‎Created a new Item: Wikidata Toolkit example test item creation)
(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:19.8.E20
No description defined

    Statements

    Defining formula
    ρ ⁢ Π ⁡ ( ϕ , α 2 , k ) = 4 1 + k ′ ⁢ Π ⁡ ( ψ 1 , α 1 2 , k 1 ) + ( ρ - 1 ) ⁢ F ⁡ ( ϕ , k ) - R C ⁡ ( c - 1 , c - α 2 ) , 𝜌 elliptic-integral-third-kind-Pi italic-ϕ superscript 𝛼 2 𝑘 4 1 superscript 𝑘 ′ elliptic-integral-third-kind-Pi subscript 𝜓 1 superscript subscript 𝛼 1 2 subscript 𝑘 1 𝜌 1 elliptic-integral-first-kind-F italic-ϕ 𝑘 Carlson-integral-RC 𝑐 1 𝑐 superscript 𝛼 2 {\displaystyle{\displaystyle\rho\Pi\left(\phi,\alpha^{2},k\right)=\frac{4}{1+k% ^{\prime}}\Pi\left(\psi_{1},\alpha_{1}^{2},k_{1}\right)+(\rho-1)F\left(\phi,k% \right)-R_{C}\left(c-1,c-\alpha^{2}\right),}}
    0 references
    DLMF id
    DLMF:19.8.E20
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6238&oldid=12237"