DLMF:28.2.E21 (Q8164)

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DLMF:28.2.E21
No description defined

    Statements

    Defining formula
    w I ′ ⁢ ( 1 2 ⁢ π ; a , q ) = 0 , a = a 2 ⁢ n ⁡ ( q ) , w I ⁢ ( 1 2 ⁢ π ; a , q ) = 0 , a = a 2 ⁢ n + 1 ⁡ ( q ) , subscript superscript 𝑤 ′ I 1 2 𝜋 𝑎 𝑞 0 𝑎 Mathieu-eigenvalue-a 2 𝑛 𝑞 subscript 𝑤 I 1 2 𝜋 𝑎 𝑞 0 𝑎 Mathieu-eigenvalue-a 2 𝑛 1 𝑞 {\displaystyle{\displaystyle\begin{array}[]{ll}w^{\prime}_{\mbox{\tiny I}}(% \tfrac{1}{2}\pi;a,q)=0,&a=a_{2n}\left(q\right),\\ w_{\mbox{\tiny I}}(\tfrac{1}{2}\pi;a,q)=0,&a=a_{2n+1}\left(q\right),\end{array% }}}
    0 references
    DLMF id
    DLMF:28.2.E21
    0 references
    Symbols used
    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.m3aadec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2amdec
    0 references
    Q12271
    Defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1pdec
    0 references
    Q12279
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C28.S1.XMD2.m1ddec
    0 references
    Q12273
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C28.S1.XMD9.m1ndec
    0 references
    Q12274
    Defining formula
    w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    xml-id
    C28.S2.XMD1.m1pdec
    0 references
    Q12276
    Defining formula
    w I ⁢ ( z ; a , q ) subscript 𝑤 I 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny I}}(z;a,q)}}
    xml-id
    C28.S2.XMD3.m1jdec
    0 references
     
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