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Dawson function
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{{Short description|Mathematical function}} [[File:Plot of the Dawson integral function F(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg|alt=Plot of the Dawson integral function F(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D|thumb|Plot of the Dawson integral function F(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D]] In [[mathematics]], the '''Dawson function''' or '''Dawson integral'''<ref>{{dlmf|id=7|title=Error Functions, Dawson's and Fresnel Integrals|first=N. M. |last=Temme}}</ref> (named after [[H. G. Dawson]]<ref>{{cite journal | author = Dawson, H. G. | title = On the Numerical Value of <math>\textstyle\int_0^h \exp(x^2) \, dx</math> | volume = s1-29 | number = 1 | pages = 519–522 | year = 1897 | doi=10.1112/plms/s1-29.1.519 | journal = Proceedings of the London Mathematical Society | url = https://zenodo.org/record/1433401 }}</ref>) is the one-sided Fourier–Laplace [[sine transform]] of the Gaussian function.
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