DLMF:28.7.E3 (Q8263)

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DLMF:28.7.E3
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    Statements

    Defining formula
    ∑ n = 0 ∞ ( b 2 ⁢ n + 1 ⁡ ( q ) - ( 2 ⁢ n + 1 ) 2 ) = - q , superscript subscript 𝑛 0 Mathieu-eigenvalue-b 2 𝑛 1 𝑞 superscript 2 𝑛 1 2 𝑞 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}\left(b_{2n+1}\left(q\right)-(2% n+1)^{2}\right)=-q,}}
    0 references
    DLMF id
    DLMF:28.7.E3
    0 references
    Symbols used
    Q12282
    Defining formula
    b n ⁡ ( q ) Mathieu-eigenvalue-b 𝑛 𝑞 {\displaystyle{\displaystyle b_{\NVar{n}}\left(\NVar{q}\right)}}
    xml-id
    C28.S2.SS5.p1.m4adec
    0 references
    Q12271
    Defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1cdec
    0 references
     
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