DLMF:28.33.E2 (Q8561)

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DLMF:28.33.E2
No description defined

    Statements

    Defining formula
    V n ⁢ ( ξ , η ) = ( c n ⁢ M n ( 1 ) ⁡ ( ξ , q ) + d n ⁢ M n ( 2 ) ⁡ ( ξ , q ) ) ⁢ me n ⁡ ( η , q ) , subscript 𝑉 𝑛 𝜉 𝜂 subscript 𝑐 𝑛 modified-Mathieu-M 1 𝑛 𝜉 𝑞 subscript 𝑑 𝑛 modified-Mathieu-M 2 𝑛 𝜉 𝑞 Mathieu-me 𝑛 𝜂 𝑞 {\displaystyle{\displaystyle V_{n}(\xi,\eta)=\left(c_{n}{\mathrm{M}^{(1)}_{n}}% \left(\xi,\sqrt{q}\right)+d_{n}{\mathrm{M}^{(2)}_{n}}\left(\xi,\sqrt{q}\right)% \right)\mathrm{me}_{n}\left(\eta,q\right),}}
    0 references
    DLMF id
    DLMF:28.33.E2
    0 references
    Symbols used
    Q12299
    Defining formula
    me n ⁡ ( z , q ) Mathieu-me 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{me}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S12.SS2.p2.m2adec
    0 references
    Q12301
    Defining formula
    M ν ( j ) ⁡ ( z , h ) modified-Mathieu-M 𝑗 𝜈 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{M}^{(\NVar{j})}_{\NVar{\nu}}}\left(\NVar{% z},\NVar{h}\right)}}
    xml-id
    C28.S20.SS3.p1.m4adec
    0 references
    Q12271
    Defining formula
    q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}}
    xml-id
    C28.S1.XMD10.m1dec
    0 references
    Q12279
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C28.S1.XMD2.m1dec
    0 references
    Q12332
    Defining formula
    V ⁢ ( ξ , η ) 𝑉 𝜉 𝜂 {\displaystyle{\displaystyle V(\xi,\eta)}}
    xml-id
    C28.S32.XMD4.m1dec
    0 references
    Q12343
    Defining formula
    d n subscript 𝑑 𝑛 {\displaystyle{\displaystyle d_{n}}}
    xml-id
    C28.S33.XMD10.m1dec
    0 references
    Q12344
    Defining formula
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    xml-id
    C28.S33.XMD4.m1dec
    0 references
    Q12345
    Defining formula
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    xml-id
    C28.S33.XMD5.m1dec
    0 references
    Q12346
    Defining formula
    c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}}
    xml-id
    C28.S33.XMD9.m1dec
    0 references
     
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