DLMF:23.9.E7 (Q7297)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:23.9.E7
No description defined

    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
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    Q12055
    Defining formula
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    xml-id
    C23.S1.XMD1.m1edec
    0 references
    Q12060
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C23.S1.XMD3.m1ddec
    0 references
    Q12061
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C23.S1.XMD4.m1adec
    0 references
    Q12056
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C23.S1.XMD7.m1bdec
    0 references
    Q12073
    Defining formula
    c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}}
    xml-id
    C23.S9.XMD1.m1fdec
    0 references
    Q12075
    Defining formula
    a m , n subscript 𝑎 𝑚 𝑛 {\displaystyle{\displaystyle a_{m,n}}}
    xml-id
    C23.S9.XMD3.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7297&oldid=61995"