7 Error Functions, Dawson’s and Fresnel Integrals Properties 7.15 Sums 7.17 Inverse Error Functions

§7.16 Generalized Error Functions

Keywords:: Dawson’s integral, error functions
Permalink:: http://dlmf.nist.gov/7.16

Generalizations of the error function and Dawson’s integral are $\int_{0}^{x}e^{{-t^{p}}}dt$ and $\int_{0}^{x}e^{{t^{p}}}dt$ . These functions can be expressed in terms of the incomplete gamma function $\mathop{\gamma\/}\nolimits\!\left(a,z\right)$ (§8.2(i)) by change of integration variable.

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