DLMF:28.11.E7 (Q8297)

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DLMF:28.11.E7
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    Statements

    Defining formula
    sin ⁡ ( 2 ⁢ m + 2 ) ⁢ z = ∑ n = 0 ∞ B 2 ⁢ m + 2 2 ⁢ n + 2 ⁢ ( q ) ⁢ se 2 ⁢ n + 2 ⁡ ( z , q ) . 2 𝑚 2 𝑧 superscript subscript 𝑛 0 superscript subscript 𝐵 2 𝑚 2 2 𝑛 2 𝑞 Mathieu-se 2 𝑛 2 𝑧 𝑞 {\displaystyle{\displaystyle\sin(2m+2)z=\sum_{n=0}^{\infty}B_{2m+2}^{2n+2}(q)% \mathrm{se}_{2n+2}\left(z,q\right).}}
    0 references
    DLMF id
    DLMF:28.11.E7
    0 references
    Symbols used
    Q12286
    Defining formula
    se n ⁡ ( z , q ) Mathieu-se 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S2.SS6.p1.m8acdec
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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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    Q12284
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C28.S1.XMD1.m1cdec
    0 references
     
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