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NIST
7 Error Functions, Dawson’s and Fresnel IntegralsProperties

§7.4 Symmetry

7.4.1 erf(-z) =-erf(z),
7.4.2 erfc(-z) =2-erfc(z),
7.4.3 w(-z) =2e-z2-w(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)e14πi-12πiz2-if(z),
g(iz) =(1/2)e-14πi-12πiz2+ig(z).
7.4.8 f(-z) =2cos(14π+12πz2)-f(z),
g(-z) =2sin(14π+12πz2)-g(z).