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7 Error Functions, Dawson’s and Fresnel IntegralsProperties

§7.9 Continued Fractions

7.9.1 πez2erfcz =zz2+121+1z2+321+2z2+,
z>0,
7.9.2 πez2erfcz =2z2z2+1122z2+5342z2+9,
z>0,
7.9.3 w(z) =iπ1z12z1z32z2z,
z>0.

See also Cuyt et al. (2008, pp. 255–260, 263–267, 270–273).