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

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Property / Symbols used
 
Property / Symbols used: Q12299 / rank
 
Normal rank
Property / Symbols used: Q12299 / qualifier
 
test:

me n ( z , q ) Mathieu-me 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{me}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}

\Mathieume{\NVar{n}}@{\NVar{z}}{\NVar{q}}
Property / Symbols used: Q12299 / qualifier
 
xml-id: C28.S12.SS2.p2.m2ahdec
Property / Symbols used
 
Property / Symbols used: Q12271 / rank
 
Normal rank
Property / Symbols used: Q12271 / qualifier
 
test:

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

q=h^{2}
Property / Symbols used: Q12271 / qualifier
 
xml-id: C28.S1.XMD10.m1idec
Property / Symbols used
 
Property / Symbols used: Q12272 / rank
 
Normal rank
Property / Symbols used: Q12272 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12272 / qualifier
 
xml-id: C28.S1.XMD6.m1fdec
Property / Symbols used
 
Property / Symbols used: Q12278 / rank
 
Normal rank
Property / Symbols used: Q12278 / qualifier
 
test:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q12278 / qualifier
 
xml-id: C28.S1.XMD7.m1idec

Latest revision as of 13:55, 2 January 2020

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DLMF:28.12.E12
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    Statements

    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),}}
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    ce n ( z , q ) Mathieu-ce 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{ce}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    C28.S2.SS6.p1.m7aadec
    0 references
    me n ( z , q ) Mathieu-me 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{me}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    C28.S12.SS2.p2.m2ahdec
    0 references
    q = h 2 𝑞 superscript 2 {\displaystyle{\displaystyle q=h^{2}}}
    C28.S1.XMD10.m1idec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C28.S1.XMD6.m1fdec
    0 references
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C28.S1.XMD7.m1idec
    0 references