DLMF:28.2.E36 (Q8182): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12286 / rank
 
Normal rank
Property / Symbols used: Q12286 / qualifier
 
Defining formula:

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

\Mathieuse{\NVar{n}}@{\NVar{z}}{\NVar{q}}
Property / Symbols used: Q12286 / qualifier
 
xml-id: C28.S2.SS6.p1.m8afdec

Revision as of 14:38, 2 January 2020

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DLMF:28.2.E36
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    Statements

    Defining formula
    se 2 ⁢ n + 1 ⁡ ( z , - q ) = ( - 1 ) n ⁢ ce 2 ⁢ n + 1 ⁡ ( 1 2 ⁢ π - z , q ) , Mathieu-se 2 𝑛 1 𝑧 𝑞 superscript 1 𝑛 Mathieu-ce 2 𝑛 1 1 2 𝜋 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{2n+1}\left(z,-q\right)=(-1)^{n}% \mathrm{ce}_{2n+1}\left(\tfrac{1}{2}\pi-z,q\right),}}
    0 references
    DLMF id
    DLMF:28.2.E36
    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.m7agdec
    0 references
    Q12286
    Defining formula
    se n ⁡ ( z , q ) Mathieu-se 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S2.SS6.p1.m8afdec
    0 references
     
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