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DLMF:28.20.E13 - MaRDI portal

DLMF:28.20.E13 (Q9038)

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DLMF:28.20.E13
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    Statements

    DLMF defining formula
    M ν ( 3 ) ⁡ ( z , h ) = M ν ( 1 ) ⁡ ( z , h ) + i ⁢ M ν ( 2 ) ⁡ ( z , h ) , modified-Mathieu-M 3 𝜈 𝑧 ℎ modified-Mathieu-M 1 𝜈 𝑧 ℎ imaginary-unit modified-Mathieu-M 2 𝜈 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{M}^{(3)}_{\nu}}\left(z,h\right)={\mathrm{% M}^{(1)}_{\nu}}\left(z,h\right)+\mathrm{i}{\mathrm{M}^{(2)}_{\nu}}\left(z,h% \right),}}
    0 references
    Symbols used
    imaginary unit
    DLMF defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aedec
    0 references
    Q12304
    DLMF 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.m4addec
    0 references
    parameter
    DLMF defining formula
    h ℎ {\displaystyle{\displaystyle h}}
    xml-id
    C28.S1.XMD11.m1edec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1kdec
    0 references
    complex parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C28.S1.XMD7.m1gdec
    0 references

    Identifiers

     
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