DLMF:28.19.E2 (Q8330): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: coefficients (locally) / rank
 
Normal rank
Property / Symbols used: coefficients (locally) / qualifier
 
Defining formula:

f n subscript 𝑓 𝑛 {\displaystyle{\displaystyle f_{n}}}

f_{n}
Property / Symbols used: coefficients (locally) / qualifier
 
xml-id: C28.S19.XMD2.m1dec

Latest revision as of 14:58, 2 January 2020

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DLMF:28.19.E2
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    Statements

    Defining formula
    f ⁢ ( z ) = ∑ n = - ∞ ∞ f n ⁢ me ν + 2 ⁢ n ⁡ ( z , q ) , 𝑓 𝑧 superscript subscript 𝑛 subscript 𝑓 𝑛 Mathieu-me 𝜈 2 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle f(z)=\sum_{n=-\infty}^{\infty}f_{n}\mathrm{me}_{% \nu+2n}\left(z,q\right),}}
    0 references
    DLMF id
    DLMF:28.19.E2
    0 references
    Symbols used
    Q12299
    Defining formula
    me n ⁡ ( z , q ) Mathieu-me 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{me}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S12.SS2.p2.m2adec
    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.m1adec
    0 references
    Q12278
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C28.S1.XMD7.m1adec
    0 references
    coefficients (locally)
    Defining formula
    f n subscript 𝑓 𝑛 {\displaystyle{\displaystyle f_{n}}}
    xml-id
    C28.S19.XMD2.m1dec
    0 references
     
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