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DLMF:28.22.E9 - MaRDI portal

DLMF:28.22.E9 (Q9067)

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DLMF:28.22.E9
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    Statements

    DLMF defining formula
    f e , m ⁢ ( h ) = - π / 2 ⁢ g e , m ⁢ ( h ) ⁢ Mc m ( 2 ) ⁡ ( 0 , h ) , subscript 𝑓 𝑒 𝑚 ℎ 𝜋 2 subscript 𝑔 𝑒 𝑚 ℎ modified-Mathieu-Mc 2 𝑚 0 ℎ {\displaystyle{\displaystyle f_{\mathit{e},m}(h)=-\sqrt{\ifrac{\pi}{2}}g_{% \mathit{e},m}(h){\mathrm{Mc}^{(2)}_{m}}\left(0,h\right),}}
    0 references
    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.m2ahdec
    0 references
    radial Mathieu function
    DLMF defining formula
    Mc n ( j ) ⁡ ( z , h ) modified-Mathieu-Mc 𝑗 𝑛 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{Mc}^{(\NVar{j})}_{\NVar{n}}}\left(\NVar{z% },\NVar{h}\right)}}
    xml-id
    C28.S20.E15.m2abdec
    0 references
    integer
    DLMF defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C28.S1.XMD1.m1hdec
    0 references
    parameter
    DLMF defining formula
    h ℎ {\displaystyle{\displaystyle h}}
    xml-id
    C28.S1.XMD11.m1hdec
    0 references
    joining factors
    DLMF defining formula
    g e , n ⁢ ( h ) subscript 𝑔 𝑒 𝑛 ℎ {\displaystyle{\displaystyle g_{\mathit{e},n}(h)}}
    xml-id
    C28.S22.XMD1.m1hdec
    0 references
    joining factors
    DLMF defining formula
    f e , n ⁢ ( h ) subscript 𝑓 𝑒 𝑛 ℎ {\displaystyle{\displaystyle f_{\mathit{e},n}(h)}}
    xml-id
    C28.S22.XMD2.m1bdec
    0 references

    Identifiers

     
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