DLMF:28.6.E25 (Q8259): 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.m1ddec

Latest revision as of 14:46, 2 January 2020

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DLMF:28.6.E25
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    Statements

    Defining formula
    se 2 ⁡ ( z , q ) = sin ⁡ 2 ⁢ z - 1 12 ⁢ q ⁢ sin ⁡ 4 ⁢ z + 1 128 ⁢ q 2 ⁢ ( 1 3 ⁢ sin ⁡ 6 ⁢ z - 4 9 ⁢ sin ⁡ 2 ⁢ z ) + ⋯ . Mathieu-se 2 𝑧 𝑞 2 𝑧 1 12 𝑞 4 𝑧 1 128 superscript 𝑞 2 1 3 6 𝑧 4 9 2 𝑧 ⋯ {\displaystyle{\displaystyle\mathrm{se}_{2}\left(z,q\right)=\sin 2z-\tfrac{1}{% 12}q\sin 4z+\tfrac{1}{128}q^{2}\left(\tfrac{1}{3}\sin 6z-\tfrac{4}{9}\sin 2z% \right)+\cdots.}}
    0 references
    DLMF id
    DLMF:28.6.E25
    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.m8aadec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aadec
    0 references
    Q12271
    Defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1wdec
    0 references
    Q12272
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1ddec
    0 references
     
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