DLMF:28.7.E3 (Q8263): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
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.m1cdec

Revision as of 14:47, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:28.7.E3
No description defined

    Statements

    n = 0 ( b 2 n + 1 ( q ) - ( 2 n + 1 ) 2 ) = - q , superscript subscript 𝑛 0 Mathieu-eigenvalue-b 2 𝑛 1 𝑞 superscript 2 𝑛 1 2 𝑞 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}\left(b_{2n+1}\left(q\right)-(2% n+1)^{2}\right)=-q,}}
    0 references
    DLMF:28.7.E3
    0 references
    b n ( q ) Mathieu-eigenvalue-b 𝑛 𝑞 {\displaystyle{\displaystyle b_{\NVar{n}}\left(\NVar{q}\right)}}
    C28.S2.SS5.p1.m4adec
    0 references
    q = h 2 𝑞 superscript 2 {\displaystyle{\displaystyle q=h^{2}}}
    C28.S1.XMD10.m1cdec
    0 references