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7 Error Functions, Dawson’s and Fresnel IntegralsProperties

§7.4 Symmetry

7.4.1 erf(z) =erf(z),
7.4.2 erfc(z) =2erfc(z),
7.4.3 w(z) =2ez2w(z).
7.4.4 F(z) =F(z).
7.4.5 C(z) =C(z),
S(z) =S(z),
7.4.6 C(iz) =iC(z),
S(iz) =iS(z).
7.4.7 f(iz) =(1/2)e14πi12πiz2if(z),
g(iz) =(1/2)e14πi12πiz2+ig(z).
7.4.8 f(z) =2cos(14π+12πz2)f(z),
g(z) =2sin(14π+12πz2)g(z).