DLMF:28.2.E37 (Q8183): Difference between revisions

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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.m8agdec
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2awdec
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.m1aedec
Property / Symbols used
 
Property / Symbols used: Q12279 / rank
 
Normal rank
Property / Symbols used: Q12279 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12279 / qualifier
 
xml-id: C28.S1.XMD2.m1udec
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.m1ldec

Latest revision as of 14:38, 2 January 2020

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DLMF:28.2.E37
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    Statements

    se 2 n + 2 ( z , - q ) = ( - 1 ) n se 2 n + 2 ( 1 2 π - z , q ) . Mathieu-se 2 𝑛 2 𝑧 𝑞 superscript 1 𝑛 Mathieu-se 2 𝑛 2 1 2 𝜋 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{2n+2}\left(z,-q\right)=(-1)^{n}% \mathrm{se}_{2n+2}\left(\tfrac{1}{2}\pi-z,q\right).}}
    0 references
    DLMF:28.2.E37
    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.m8agdec
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2awdec
    0 references
    q = h 2 𝑞 superscript 2 {\displaystyle{\displaystyle q=h^{2}}}
    C28.S1.XMD10.m1aedec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C28.S1.XMD2.m1udec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C28.S1.XMD6.m1ldec
    0 references