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Gamma, Beta, Erf > FresnelS[z] > Introduction to the Fresnel integrals


The Fresnel integrals appeared in the works by A. J. Fresnel (1798, 1818, 1826) who investigated an optical problem. Later K. W. Knochenhauer (1839) found series representations of these integrals. N. Nielsen (1906) studied various properties of these integrals.

Different authors used the same notations and , but with slightly different definitions.