DLMF:28.12.E15 (Q8313): Difference between revisions

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Changed an Item: Add constraint
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 2 {\displaystyle{\displaystyle q=h^{2}}}

q=h^{2}
Property / Symbols used: Q12271 / qualifier
 
xml-id: C28.S1.XMD10.m1ldec
Property / Symbols used
 
Property / Symbols used: Q12272 / rank
 
Normal rank
Property / Symbols used: Q12272 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12272 / qualifier
 
xml-id: C28.S1.XMD6.m1idec
Property / Symbols used
 
Property / Symbols used: Q12278 / rank
 
Normal rank
Property / Symbols used: Q12278 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q12278 / qualifier
 
xml-id: C28.S1.XMD7.m1ldec

Latest revision as of 14:56, 2 January 2020

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DLMF:28.12.E15
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    Statements

    se ν ( z , q ) = - se ν ( - z , q ) = - se - ν ( z , q ) . Mathieu-se 𝜈 𝑧 𝑞 Mathieu-se 𝜈 𝑧 𝑞 Mathieu-se 𝜈 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{\nu}\left(z,q\right)=-\mathrm{se}_{% \nu}\left(-z,q\right)=-\mathrm{se}_{-\nu}\left(z,q\right).}}
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    DLMF:28.12.E15
    0 references
    se n ( z , q ) Mathieu-se 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    C28.S2.SS6.p1.m8abdec
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    q = h 2 𝑞 superscript 2 {\displaystyle{\displaystyle q=h^{2}}}
    C28.S1.XMD10.m1ldec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C28.S1.XMD6.m1idec
    0 references
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C28.S1.XMD7.m1ldec
    0 references