DLMF:29.15.E43 (Q8788)

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DLMF:29.15.E43
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    Defining formula
    𝑢𝐸 2 ⁢ n m ⁡ ( z , k 2 ) = 1 2 ⁢ A 0 + ∑ p = 1 n A 2 ⁢ p ⁢ T 2 ⁢ p ⁡ ( sn ⁡ ( z , k ) ) . Lame-polynomial-uE 𝑚 2 𝑛 𝑧 superscript 𝑘 2 1 2 subscript 𝐴 0 superscript subscript 𝑝 1 𝑛 subscript 𝐴 2 𝑝 Chebyshev-polynomial-first-kind-T 2 𝑝 Jacobi-elliptic-sn 𝑧 𝑘 {\displaystyle{\displaystyle\mathit{uE}^{m}_{2n}\left(z,k^{2}\right)=\tfrac{1}% {2}A_{0}+\sum_{p=1}^{n}A_{2p}T_{2p}\left(\operatorname{sn}\left(z,k\right)% \right).}}
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    DLMF id
    DLMF:29.15.E43
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