DLMF:28.2.E34 (Q8180): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12283 / rank
 
Normal rank
Property / Symbols used: Q12283 / qualifier
 
Defining formula:

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.m7aedec

Revision as of 14:37, 2 January 2020

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DLMF:28.2.E34
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    Statements

    ce 2 n ( z , - q ) = ( - 1 ) n ce 2 n ( 1 2 π - z , q ) , Mathieu-ce 2 𝑛 𝑧 𝑞 superscript 1 𝑛 Mathieu-ce 2 𝑛 1 2 𝜋 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{ce}_{2n}\left(z,-q\right)=(-1)^{n}\mathrm{% ce}_{2n}\left(\tfrac{1}{2}\pi-z,q\right),}}
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    DLMF:28.2.E34
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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.m7aedec
    0 references