DLMF:23.9.E7 (Q7297)

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DLMF:23.9.E7
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    Statements

    Defining formula
    σ ⁡ ( z ) = ∑ m , n = 0 ∞ a m , n ⁢ ( 10 ⁢ c 2 ) m ⁢ ( 56 ⁢ c 3 ) n ⁢ z 4 ⁢ m + 6 ⁢ n + 1 ( 4 ⁢ m + 6 ⁢ n + 1 ) ! , Weierstrass-sigma-on-lattice 𝑧 𝕃 superscript subscript 𝑚 𝑛 0 subscript 𝑎 𝑚 𝑛 superscript 10 subscript 𝑐 2 𝑚 superscript 56 subscript 𝑐 3 𝑛 superscript 𝑧 4 𝑚 6 𝑛 1 4 𝑚 6 𝑛 1 {\displaystyle{\displaystyle\sigma\left(z\right)=\sum_{m,n=0}^{\infty}a_{m,n}(% 10c_{2})^{m}(56c_{3})^{n}\frac{z^{4m+6n+1}}{(4m+6n+1)!},}}
    0 references
    DLMF id
    DLMF:23.9.E7
    0 references
    Symbols used
    DLMF:23.2.E6
    Defining formula
    σ ⁡ ( z ) Weierstrass-sigma-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}}
    xml-id
    C23.S2.E6.m2adec
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    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
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    Q12055
    Defining formula
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    xml-id
    C23.S1.XMD1.m1edec
    0 references
     
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