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DLMF:23.10.E1 - MaRDI portal

DLMF:23.10.E1 (Q7992)

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DLMF:23.10.E1
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    Statements

    DLMF defining formula
    ℘ ⁡ ( u + v ) = 1 4 ⁢ ( ℘ ′ ⁡ ( u ) - ℘ ′ ⁡ ( v ) ℘ ⁡ ( u ) - ℘ ⁡ ( v ) ) 2 - ℘ ⁡ ( u ) - ℘ ⁡ ( v ) , Weierstrass-P-on-lattice 𝑢 𝑣 𝕃 1 4 superscript diffop Weierstrass-P-on-lattice 1 𝑢 𝕃 diffop Weierstrass-P-on-lattice 1 𝑣 𝕃 Weierstrass-P-on-lattice 𝑢 𝕃 Weierstrass-P-on-lattice 𝑣 𝕃 2 Weierstrass-P-on-lattice 𝑢 𝕃 Weierstrass-P-on-lattice 𝑣 𝕃 {\displaystyle{\displaystyle\wp\left(u+v\right)=\frac{1}{4}\left(\frac{\wp'% \left(u\right)-\wp'\left(v\right)}{\wp\left(u\right)-\wp\left(v\right)}\right)% ^{2}-\wp\left(u\right)-\wp\left(v\right),}}
    0 references
    Symbols used
    23.2.E4
    DLMF defining formula
    ℘ ⁡ ( z ) Weierstrass-P-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}}
    xml-id
    C23.S2.E4.m2adec
    0 references
    lattice
    DLMF defining formula
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    xml-id
    C23.S1.XMD1.m1dec
    0 references

    Identifiers

     
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