DLMF:19.11.E2 (Q6272)

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DLMF:19.11.E2
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    Statements

    Defining formula
    E ⁡ ( θ , k ) + E ⁡ ( ϕ , k ) = E ⁡ ( ψ , k ) + k 2 ⁢ sin ⁡ θ ⁢ sin ⁡ ϕ ⁢ sin ⁡ ψ . elliptic-integral-second-kind-E 𝜃 𝑘 elliptic-integral-second-kind-E italic-ϕ 𝑘 elliptic-integral-second-kind-E 𝜓 𝑘 superscript 𝑘 2 𝜃 italic-ϕ 𝜓 {\displaystyle{\displaystyle E\left(\theta,k\right)+E\left(\phi,k\right)=E% \left(\psi,k\right)+k^{2}\sin\theta\sin\phi\sin\psi.}}
    0 references
    DLMF id
    DLMF:19.11.E2
    0 references
    Symbols used
    Legendre’s incomplete elliptic integral of the second kind
    Defining formula
    E ⁡ ( ϕ , k ) elliptic-integral-second-kind-E italic-ϕ 𝑘 {\displaystyle{\displaystyle E\left(\NVar{\phi},\NVar{k}\right)}}
    xml-id
    C19.S2.E5.m2adec
    0 references
     
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