DLMF:23.10.E2 (Q7300)

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DLMF:23.10.E2
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    Statements

    Defining formula
    ζ ⁡ ( u + v ) = ζ ⁡ ( u ) + ζ ⁡ ( v ) + 1 2 ⁢ ζ ′′ ⁡ ( u ) - ζ ′′ ⁡ ( v ) ζ ′ ⁡ ( u ) - ζ ′ ⁡ ( v ) , Weierstrass-zeta-on-lattice 𝑢 𝑣 𝕃 Weierstrass-zeta-on-lattice 𝑢 𝕃 Weierstrass-zeta-on-lattice 𝑣 𝕃 1 2 diffop Weierstrass-zeta-on-lattice 2 𝑢 𝕃 diffop Weierstrass-zeta-on-lattice 2 𝑣 𝕃 diffop Weierstrass-zeta-on-lattice 1 𝑢 𝕃 diffop Weierstrass-zeta-on-lattice 1 𝑣 𝕃 {\displaystyle{\displaystyle\zeta\left(u+v\right)=\zeta\left(u\right)+\zeta% \left(v\right)+\frac{1}{2}\frac{\zeta''\left(u\right)-\zeta''\left(v\right)}{% \zeta'\left(u\right)-\zeta'\left(v\right)},}}
    0 references
    DLMF id
    DLMF:23.10.E2
    0 references
    Symbols used
    DLMF:23.2.E5
    Defining formula
    ζ ⁡ ( z ) Weierstrass-zeta-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\zeta\left(\NVar{z}\right)}}
    xml-id
    C23.S2.E5.m2adec
    0 references
     
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