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DLMF:19.6#Ex29 - MaRDI portal

DLMF:19.6#Ex29 (Q6869)

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DLMF:19.6#Ex29
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    DLMF defining formula
    Π ⁡ ( ϕ , 1 , k ) = F ⁡ ( ϕ , k ) - 1 k ′ 2 ⁢ ( E ⁡ ( ϕ , k ) - Δ ⁢ tan ⁡ ϕ ) . elliptic-integral-third-kind-Pi italic-ϕ 1 𝑘 elliptic-integral-first-kind-F italic-ϕ 𝑘 1 superscript superscript 𝑘 ′ 2 elliptic-integral-second-kind-E italic-ϕ 𝑘 Δ italic-ϕ {\displaystyle{\displaystyle\Pi\left(\phi,1,k\right)=F\left(\phi,k\right)-% \frac{1}{{k^{\prime}}^{2}}(E\left(\phi,k\right)-\Delta\tan\phi).}}
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