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DLMF:28.2.E15 - MaRDI portal

DLMF:28.2.E15 (Q8851)

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DLMF:28.2.E15
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    Statements

    DLMF defining formula
    [ w I ⁢ ( π ; a , q ) w II ⁢ ( π ; a , q ) w I ′ ⁢ ( π ; a , q ) w II ′ ⁢ ( π ; a , q ) ] . subscript 𝑤 I 𝜋 𝑎 𝑞 subscript 𝑤 II 𝜋 𝑎 𝑞 subscript superscript 𝑤 ′ I 𝜋 𝑎 𝑞 subscript superscript 𝑤 ′ II 𝜋 𝑎 𝑞 {\displaystyle{\displaystyle\begin{bmatrix}w_{\mbox{\tiny I}}(\pi;a,q)&w_{% \mbox{\tiny II}}(\pi;a,q)\\ w^{\prime}_{\mbox{\tiny I}}(\pi;a,q)&w^{\prime}_{\mbox{\tiny II}}(\pi;a,q)\end% {bmatrix}.}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aidec
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    parameter
    DLMF defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1ldec
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    parameter
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C28.S1.XMD9.m1kdec
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    Mathieu’s equation solution
    DLMF defining formula
    w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    xml-id
    C28.S2.XMD1.m1ldec
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    fundamental solution
    DLMF 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.m1hdec
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    fundamental solution
    DLMF defining formula
    w II ⁢ ( z ; a , q ) subscript 𝑤 II 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny II}}(z;a,q)}}
    xml-id
    C28.S2.XMD4.m1fdec
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    Identifiers

     
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