DLMF:28.4.E1 (Q8186): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12272 / rank
 
Normal rank
Property / Symbols used: Q12272 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12272 / qualifier
 
xml-id: C28.S1.XMD6.m1dec

Revision as of 14:39, 2 January 2020

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DLMF:28.4.E1
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    Statements

    Defining formula
    ce 2 ⁢ n ⁡ ( z , q ) = ∑ m = 0 ∞ A 2 ⁢ m 2 ⁢ n ⁢ ( q ) ⁢ cos ⁡ 2 ⁢ m ⁢ z , Mathieu-ce 2 𝑛 𝑧 𝑞 superscript subscript 𝑚 0 subscript superscript 𝐴 2 𝑛 2 𝑚 𝑞 2 𝑚 𝑧 {\displaystyle{\displaystyle\mathrm{ce}_{2n}\left(z,q\right)=\sum_{m=0}^{% \infty}A^{2n}_{2m}(q)\cos 2mz,}}
    0 references
    DLMF id
    DLMF:28.4.E1
    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.m7adec
    0 references
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
    Q12284
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C28.S1.XMD1.m1dec
    0 references
    Q12271
    Defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1dec
    0 references
    Q12279
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C28.S1.XMD2.m1dec
    0 references
    Q12272
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1dec
    0 references
     
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