DLMF:28.6.E24 (Q8258): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12271 / rank
 
Normal rank
Property / Symbols used: Q12271 / qualifier
 
Defining formula:

q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}

q=h^{2}
Property / Symbols used: Q12271 / qualifier
 
xml-id: C28.S1.XMD10.m1vdec

Revision as of 14:46, 2 January 2020

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DLMF:28.6.E24
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    Statements

    Defining formula
    ce 2 ⁡ ( z , q ) = cos ⁡ 2 ⁢ z - 1 4 ⁢ q ⁢ ( 1 3 ⁢ cos ⁡ 4 ⁢ z - 1 ) + 1 128 ⁢ q 2 ⁢ ( 1 3 ⁢ cos ⁡ 6 ⁢ z - 76 9 ⁢ cos ⁡ 2 ⁢ z ) + ⋯ , Mathieu-ce 2 𝑧 𝑞 2 𝑧 1 4 𝑞 1 3 4 𝑧 1 1 128 superscript 𝑞 2 1 3 6 𝑧 76 9 2 𝑧 ⋯ {\displaystyle{\displaystyle\mathrm{ce}_{2}\left(z,q\right)=\cos 2z-\tfrac{1}{% 4}q\left(\tfrac{1}{3}\cos 4z-1\right)+\tfrac{1}{128}q^{2}\left(\tfrac{1}{3}% \cos 6z-\tfrac{76}{9}\cos 2z\right)+\cdots,}}
    0 references
    DLMF id
    DLMF:28.6.E24
    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.m7abdec
    0 references
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2abdec
    0 references
    Q12271
    Defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1vdec
    0 references
     
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