DLMF:29.15.E18 (Q8763)

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DLMF:29.15.E18
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    Defining formula
    𝑑𝐸 2 ⁢ n + 1 m ⁡ ( z , k 2 ) = dn ⁡ ( z , k ) ⁢ ( 1 2 ⁢ C 0 + ∑ p = 1 n C 2 ⁢ p ⁢ cos ⁡ ( 2 ⁢ p ⁢ ϕ ) ) . Lame-polynomial-dE 𝑚 2 𝑛 1 𝑧 superscript 𝑘 2 Jacobi-elliptic-dn 𝑧 𝑘 1 2 subscript 𝐶 0 superscript subscript 𝑝 1 𝑛 subscript 𝐶 2 𝑝 2 𝑝 italic-ϕ {\displaystyle{\displaystyle\mathit{dE}^{m}_{2n+1}\left(z,k^{2}\right)=% \operatorname{dn}\left(z,k\right)\left(\tfrac{1}{2}C_{0}+\sum_{p=1}^{n}C_{2p}% \cos\left(2p\phi\right)\right).}}
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    DLMF id
    DLMF:29.15.E18
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