DLMF:28.22.E5 (Q8370)

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DLMF:28.22.E5
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    Statements

    Defining formula
    g e , 2 ⁢ m ⁢ ( h ) = ( - 1 ) m ⁢ 2 π ⁢ ce 2 ⁢ m ⁡ ( 1 2 ⁢ π , h 2 ) A 0 2 ⁢ m ⁢ ( h 2 ) , subscript 𝑔 𝑒 2 𝑚 ℎ superscript 1 𝑚 2 𝜋 Mathieu-ce 2 𝑚 1 2 𝜋 superscript ℎ 2 superscript subscript 𝐴 0 2 𝑚 superscript ℎ 2 {\displaystyle{\displaystyle g_{\mathit{e},2m}(h)=(-1)^{m}\sqrt{\dfrac{2}{\pi}% }\dfrac{\mathrm{ce}_{2m}\left(\frac{1}{2}\pi,h^{2}\right)}{A_{0}^{2m}(h^{2})},}}
    0 references
    DLMF id
    DLMF:28.22.E5
    0 references
    Symbols used
    Q12283
    Defining formula
    ce n ⁡ ( z , q ) Mathieu-ce 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{ce}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S2.SS6.p1.m7abdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2addec
    0 references
    Q12284
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C28.S1.XMD1.m1ddec
    0 references
     
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