DLMF:28.12.E12 (Q8310): Difference between revisions

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‎Changed an Item: Add constraint
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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.m1idec

Revision as of 14:55, 2 January 2020

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DLMF:28.12.E12
No description defined

    Statements

    Defining formula
    ce ν ⁡ ( z , q ) = 1 2 ⁢ ( me ν ⁡ ( z , q ) + me ν ⁡ ( - z , q ) ) , Mathieu-ce 𝜈 𝑧 𝑞 1 2 Mathieu-me 𝜈 𝑧 𝑞 Mathieu-me 𝜈 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{ce}_{\nu}\left(z,q\right)=\tfrac{1}{2}% \left(\mathrm{me}_{\nu}\left(z,q\right)+\mathrm{me}_{\nu}\left(-z,q\right)% \right),}}
    0 references
    DLMF id
    DLMF:28.12.E12
    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.m7aadec
    0 references
    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.m2ahdec
    0 references
    Q12271
    Defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1idec
    0 references
     
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