DLMF:28.29.E4 (Q8484)

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DLMF:28.29.E4
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    Statements

    Defining formula
    w I ⁢ ( z + π , λ ) = w I ⁢ ( π , λ ) ⁢ w I ⁢ ( z , λ ) + w I ′ ⁢ ( π , λ ) ⁢ w II ⁢ ( z , λ ) , subscript 𝑤 I 𝑧 𝜋 𝜆 subscript 𝑤 I 𝜋 𝜆 subscript 𝑤 I 𝑧 𝜆 subscript superscript 𝑤 ′ I 𝜋 𝜆 subscript 𝑤 II 𝑧 𝜆 {\displaystyle{\displaystyle w_{\mbox{\tiny I}}(z+\pi,\lambda)=w_{\mbox{\tiny I% }}(\pi,\lambda)w_{\mbox{\tiny I}}(z,\lambda)+w^{\prime}_{\mbox{\tiny I}}(\pi,% \lambda)w_{\mbox{\tiny II}}(z,\lambda),}}
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    DLMF id
    DLMF:28.29.E4
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    comment
    Warning: Falling back to standard tex;
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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.m2abdec
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    Q12272
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1cdec
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    Q12274
    Defining formula
    w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    xml-id
    C28.S2.XMD1.m1adec
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    Q12276
    Defining formula
    w I ⁢ ( z ; a , q ) subscript 𝑤 I 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny I}}(z;a,q)}}
    xml-id
    C28.S2.XMD3.m1dec
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    Q12277
    Defining formula
    w II ⁢ ( z ; a , q ) subscript 𝑤 II 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny II}}(z;a,q)}}
    xml-id
    C28.S2.XMD4.m1dec
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    Q12321
    Defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C28.S29.XMD1.m1adec
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