DLMF:29.15.E23 (Q8768)

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DLMF:29.15.E23
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    Statements

    Defining formula
    𝑠𝑐𝐸 2 ⁒ n + 2 m ⁑ ( z , k 2 ) = βˆ‘ p = 0 n B 2 ⁒ p + 2 ⁒ sin ⁑ ( ( 2 ⁒ p + 2 ) ⁒ Ο• ) . Lame-polynomial-scE π‘š 2 𝑛 2 𝑧 superscript π‘˜ 2 superscript subscript 𝑝 0 𝑛 subscript 𝐡 2 𝑝 2 2 𝑝 2 italic-Ο• {\displaystyle{\displaystyle\mathit{scE}^{m}_{2n+2}\left(z,k^{2}\right)=\sum_{% p=0}^{n}B_{2p+2}\sin\left((2p+2)\phi\right).}}
    0 references
    DLMF id
    DLMF:29.15.E23
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    Symbols used
    LamΓ© polynomial
    Defining formula
    𝑠𝑐𝐸 2 ⁒ n + 2 m ⁑ ( z , k 2 ) Lame-polynomial-scE π‘š 2 𝑛 2 𝑧 superscript π‘˜ 2 {\displaystyle{\displaystyle\mathit{scE}^{\NVar{m}}_{2\NVar{n}+2}\left(\NVar{z% },\NVar{k^{2}}\right)}}
    xml-id
    C29.S12.E5.m2adec
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    sine function
    Defining formula
    sin ⁑ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aadec
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    Q12357
    Defining formula
    m π‘š {\displaystyle{\displaystyle m}}
    xml-id
    C29.S1.XMD1.m1hdec
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    Q12367
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C29.S1.XMD2.m1rdec
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    Q12359
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C29.S1.XMD3.m1ldec
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    Q12348
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C29.S1.XMD6.m1ddec
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