DLMF:28.4.E3 (Q8188): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12279 / rank
 
Normal rank
Property / Symbols used: Q12279 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12279 / qualifier
 
xml-id: C28.S1.XMD2.m1bdec

Revision as of 14:39, 2 January 2020

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DLMF:28.4.E3
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    Statements

    Defining formula
    se 2 ⁢ n + 1 ⁡ ( z , q ) = ∑ m = 0 ∞ B 2 ⁢ m + 1 2 ⁢ n + 1 ⁢ ( q ) ⁢ sin ⁡ ( 2 ⁢ m + 1 ) ⁢ z , Mathieu-se 2 𝑛 1 𝑧 𝑞 superscript subscript 𝑚 0 subscript superscript 𝐵 2 𝑛 1 2 𝑚 1 𝑞 2 𝑚 1 𝑧 {\displaystyle{\displaystyle\mathrm{se}_{2n+1}\left(z,q\right)=\sum_{m=0}^{% \infty}B^{2n+1}_{2m+1}(q)\sin(2m+1)z,}}
    0 references
    DLMF id
    DLMF:28.4.E3
    0 references
    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.m8adec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2adec
    0 references
    Q12284
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C28.S1.XMD1.m1bdec
    0 references
    Q12271
    Defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1bdec
    0 references
    Q12279
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C28.S1.XMD2.m1bdec
    0 references
     
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