DLMF:30.13.E12 (Q8925)

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DLMF:30.13.E12
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    Statements

    Defining formula
    w 3 ⁢ ( ϕ ) = a 3 ⁢ cos ⁡ ( m ⁢ ϕ ) + b 3 ⁢ sin ⁡ ( m ⁢ ϕ ) . subscript 𝑤 3 italic-ϕ subscript 𝑎 3 𝑚 italic-ϕ subscript 𝑏 3 𝑚 italic-ϕ {\displaystyle{\displaystyle w_{3}(\phi)=a_{3}\cos\left(m\phi\right)+b_{3}\sin% \left(m\phi\right).}}
    0 references
    DLMF id
    DLMF:30.13.E12
    0 references
    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aadec
    0 references
    Q12408
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C30.S1.XMD4.m1dec
    0 references
    Q12443
    Defining formula
    b j subscript 𝑏 𝑗 {\displaystyle{\displaystyle b_{j}}}
    xml-id
    C30.S13.XMD10.m1dec
    0 references
    Q12440
    Defining formula
    ϕ italic-ϕ {\displaystyle{\displaystyle\phi}}
    xml-id
    C30.S13.XMD3.m1fdec
    0 references
    Q12441
    Defining formula
    w j subscript 𝑤 𝑗 {\displaystyle{\displaystyle w_{j}}}
    xml-id
    C30.S13.XMD7.m1edec
    0 references
    Q12444
    Defining formula
    a j subscript 𝑎 𝑗 {\displaystyle{\displaystyle a_{j}}}
    xml-id
    C30.S13.XMD9.m1dec
    0 references
     
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