DLMF:28.29.E13 (Q8493)

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DLMF:28.29.E13
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    Statements

    Defining formula
    w ⁢ ( z + π ) + w ⁢ ( z - π ) = 2 ⁢ cos ⁡ ( π ⁢ ν ) ⁢ w ⁢ ( z ) . 𝑤 𝑧 𝜋 𝑤 𝑧 𝜋 2 𝜋 𝜈 𝑤 𝑧 {\displaystyle{\displaystyle w(z+\pi)+w(z-\pi)=2\cos\left(\pi\nu\right)w(z).}}
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    DLMF id
    DLMF:28.29.E13
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aidec
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    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
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    Q12272
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1hdec
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