DLMF:29.15.E50 (Q9487)

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DLMF:29.15.E50
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    DLMF defining formula
    𝑠𝑐𝑑𝐸 2 ⁢ n + 3 m ⁡ ( z , k 2 ) = cn ⁡ ( z , k ) ⁢ dn ⁡ ( z , k ) ⁢ ∑ p = 0 n D 2 ⁢ p + 2 ⁢ U 2 ⁢ p + 1 ⁡ ( sn ⁡ ( z , k ) ) . Lame-polynomial-scdE 𝑚 2 𝑛 3 𝑧 superscript 𝑘 2 Jacobi-elliptic-cn 𝑧 𝑘 Jacobi-elliptic-dn 𝑧 𝑘 superscript subscript 𝑝 0 𝑛 subscript 𝐷 2 𝑝 2 Chebyshev-polynomial-second-kind-U 2 𝑝 1 Jacobi-elliptic-sn 𝑧 𝑘 {\displaystyle{\displaystyle\mathit{scdE}^{m}_{2n+3}\left(z,k^{2}\right)=% \operatorname{cn}\left(z,k\right)\operatorname{dn}\left(z,k\right)\sum_{p=0}^{% n}D_{2p+2}U_{2p+1}\left(\operatorname{sn}\left(z,k\right)\right).}}
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