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

§7.16 Generalized Error Functions

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Keywords:: Dawson’s integral, error functions, generalized
Permalink:: http://dlmf.nist.gov/7.16
See also:: Annotations for Ch.7

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

7.15 Sums 7.17 Inverse Error Functions

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§7.16 Generalized Error Functions

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