DLMF:23.10.E10 (Q7308)

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DLMF:23.10.E10
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    Statements

    Defining formula
    σ ⁡ ( 2 ⁢ z ) = - ℘ ′ ⁡ ( z ) ⁢ σ 4 ⁡ ( z ) . Weierstrass-sigma-on-lattice 2 𝑧 𝕃 diffop Weierstrass-P-on-lattice 1 𝑧 𝕃 Weierstrass-sigma-on-lattice 4 𝑧 𝕃 {\displaystyle{\displaystyle\sigma\left(2z\right)=-\wp'\left(z\right){\sigma^{% 4}}\left(z\right).}}
    0 references
    DLMF id
    DLMF:23.10.E10
    0 references
    Symbols used
    DLMF:23.2.E4
    Defining formula
    ℘ ⁡ ( z ) Weierstrass-P-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}}
    xml-id
    C23.S2.E4.m2aedec
    0 references
    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.m2abdec
    0 references
    Q12055
    Defining formula
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    xml-id
    C23.S1.XMD1.m1idec
    0 references
    Q12056
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C23.S1.XMD7.m1cdec
    0 references
     
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