DLMF:28.2.E8 (Q8151)

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DLMF:28.2.E8
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    Statements

    Defining formula
    w II ⁢ ( z ± π ; a , q ) = ± w II ⁢ ( π ; a , q ) ⁢ w I ⁢ ( z ; a , q ) + w II ′ ⁢ ( π ; a , q ) ⁢ w II ⁢ ( z ; a , q ) , subscript 𝑤 II plus-or-minus 𝑧 𝜋 𝑎 𝑞 plus-or-minus subscript 𝑤 II 𝜋 𝑎 𝑞 subscript 𝑤 I 𝑧 𝑎 𝑞 subscript superscript 𝑤 ′ II 𝜋 𝑎 𝑞 subscript 𝑤 II 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny II}}(z\pm\pi;a,q)=\pm w_{\mbox{% \tiny II}}(\pi;a,q)w_{\mbox{\tiny I}}(z;a,q)+w^{\prime}_{\mbox{\tiny II}}(\pi;% a,q)w_{\mbox{\tiny II}}(z;a,q),}}
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    DLMF id
    DLMF:28.2.E8
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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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