DLMF:28.2.E38 (Q8184): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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.m1vdec

Revision as of 14:38, 2 January 2020

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DLMF:28.2.E38
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    Statements

    Defining formula
    ce n ⁡ ( z , q ) ce n ⁡ ( 0 , q ) = w I ⁢ ( z ; a n ⁡ ( q ) , q ) , Mathieu-ce 𝑛 𝑧 𝑞 Mathieu-ce 𝑛 0 𝑞 subscript 𝑤 I 𝑧 Mathieu-eigenvalue-a 𝑛 𝑞 𝑞 {\displaystyle{\displaystyle\frac{\mathrm{ce}_{n}\left(z,q\right)}{\mathrm{ce}% _{n}\left(0,q\right)}=w_{\mbox{\tiny I}}(z;a_{n}\left(q\right),q),}}
    0 references
    DLMF id
    DLMF:28.2.E38
    0 references
    constraint
    n = 0 , 1 , … 𝑛 0 1 … {\displaystyle{\displaystyle n=0,1,\dots}}
    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.m7ahdec
    0 references
    Q12281
    Defining formula
    a n ⁡ ( q ) Mathieu-eigenvalue-a 𝑛 𝑞 {\displaystyle{\displaystyle a_{\NVar{n}}\left(\NVar{q}\right)}}
    xml-id
    C28.S2.SS5.p1.m3ahdec
    0 references
    Q12271
    Defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1afdec
    0 references
    Q12279
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C28.S1.XMD2.m1vdec
    0 references
     
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