DLMF:28.2.E37 (Q8183)

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DLMF:28.2.E37
No description defined

    Statements

    Defining formula
    se 2 ⁢ n + 2 ⁡ ( z , - q ) = ( - 1 ) n ⁢ se 2 ⁢ n + 2 ⁡ ( 1 2 ⁢ π - z , q ) . Mathieu-se 2 𝑛 2 𝑧 𝑞 superscript 1 𝑛 Mathieu-se 2 𝑛 2 1 2 𝜋 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{2n+2}\left(z,-q\right)=(-1)^{n}% \mathrm{se}_{2n+2}\left(\tfrac{1}{2}\pi-z,q\right).}}
    0 references
    DLMF id
    DLMF:28.2.E37
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    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.m8agdec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2awdec
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    Q12271
    Defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1aedec
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    Q12279
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C28.S1.XMD2.m1udec
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    Q12272
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1ldec
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