DLMF:28.22.E6 (Q8371): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12283 / rank
 
Normal rank
Property / Symbols used: Q12283 / qualifier
 
test:

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

\Mathieuce{\NVar{n}}@{\NVar{z}}{\NVar{q}}
Property / Symbols used: Q12283 / qualifier
 
xml-id: C28.S2.SS6.p1.m7acdec

Revision as of 14:04, 2 January 2020

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DLMF:28.22.E6
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    Statements

    g e , 2 m + 1 ( h ) = ( - 1 ) m + 1 2 π ce 2 m + 1 ( 1 2 π , h 2 ) h A 1 2 m + 1 ( h 2 ) , subscript 𝑔 𝑒 2 𝑚 1 superscript 1 𝑚 1 2 𝜋 diffop Mathieu-ce 2 𝑚 1 1 1 2 𝜋 superscript 2 superscript subscript 𝐴 1 2 𝑚 1 superscript 2 {\displaystyle{\displaystyle g_{\mathit{e},2m+1}(h)=(-1)^{m+1}\sqrt{\frac{2}{% \pi}}\dfrac{\mathrm{ce}_{2m+1}'\left(\frac{1}{2}\pi,h^{2}\right)}{hA_{1}^{2m+1% }(h^{2})},}}
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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.m7acdec
    0 references