DLMF:19.2.E16 (Q6112): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / constraint
 

x 2 ≠ - 1 / p superscript 𝑥 2 1 𝑝 {\displaystyle{\displaystyle x^{2}\neq-1/p}}

x^{2}\neq-1/p
Property / constraint: x 2 ≠ - 1 / p superscript 𝑥 2 1 𝑝 {\displaystyle{\displaystyle x^{2}\neq-1/p}} / rank
 
Normal rank

Revision as of 17:04, 30 December 2019

No description defined
Language Label Description Also known as
English
DLMF:19.2.E16
No description defined

    Statements

    test
    el3 ⁡ ( x , k c , p ) = ∫ 0 arctan ⁡ x d θ ( cos 2 ⁡ θ + p ⁢ sin 2 ⁡ θ ) ⁢ cos 2 ⁡ θ + k c 2 ⁢ sin 2 ⁡ θ = Π ⁡ ( arctan ⁡ x , 1 - p , k ) , Bulirsch-integral-el-3 𝑥 subscript 𝑘 𝑐 𝑝 superscript subscript 0 𝑥 𝜃 2 𝜃 𝑝 2 𝜃 2 𝜃 superscript subscript 𝑘 𝑐 2 2 𝜃 elliptic-integral-third-kind-Pi 𝑥 1 𝑝 𝑘 {\displaystyle{\displaystyle\mathrm{el3}\left(x,k_{c},p\right)=\int_{0}^{% \operatorname{arctan}x}\frac{\mathrm{d}\theta}{({\cos^{2}}\theta+p{\sin^{2}}% \theta)\sqrt{{\cos^{2}}\theta+k_{c}^{2}{\sin^{2}}\theta}}=\Pi\left(% \operatorname{arctan}x,1-p,k\right),}}
    0 references
    DLMF id
    DLMF:19.2.E16
    0 references
    constraint
    x 2 ≠ - 1 / p superscript 𝑥 2 1 𝑝 {\displaystyle{\displaystyle x^{2}\neq-1/p}}
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q6112&oldid=35189"