DLMF:28.22.E1 (Q8366)

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DLMF:28.22.E1
No description defined

    Statements

    Defining formula
    Mc m ( 1 ) ⁡ ( z , h ) = 2 π ⁢ 1 g e , m ⁢ ( h ) ⁢ ce m ⁡ ( 0 , h 2 ) ⁢ Ce m ⁡ ( z , h 2 ) , modified-Mathieu-Mc 1 𝑚 𝑧 ℎ 2 𝜋 1 subscript 𝑔 𝑒 𝑚 ℎ Mathieu-ce 𝑚 0 superscript ℎ 2 modified-Mathieu-Ce 𝑚 𝑧 superscript ℎ 2 {\displaystyle{\displaystyle{\mathrm{Mc}^{(1)}_{m}}\left(z,h\right)=\sqrt{% \dfrac{2}{\pi}}\dfrac{1}{g_{\mathit{e},m}(h)\mathrm{ce}_{m}\left(0,h^{2}\right% )}\mathrm{Ce}_{m}\left(z,h^{2}\right),}}
    0 references
    DLMF id
    DLMF:28.22.E1
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    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.m7adec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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    modified Mathieu function
    Defining formula
    Ce ν ⁡ ( z , q ) modified-Mathieu-Ce 𝜈 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{Ce}_{\NVar{\nu}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S20.E3.m2adec
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    radial Mathieu function
    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.m2adec
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    Q12284
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C28.S1.XMD1.m1dec
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    Q12294
    Defining formula
    h ℎ {\displaystyle{\displaystyle h}}
    xml-id
    C28.S1.XMD11.m1dec
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    Q12272
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1dec
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    Q12302
    Defining formula
    g e , n ⁢ ( h ) subscript 𝑔 𝑒 𝑛 ℎ {\displaystyle{\displaystyle g_{\mathit{e},n}(h)}}
    xml-id
    C28.S22.XMD1.m1dec
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