Dawson function

In mathematics, the Dawson function or Dawson integral^[1] (named after H. G. Dawson^[2]) is the one-sided Fourier–Laplace sine transform of the Gaussian function.

^ Temme, N. M. (2010), "Error Functions, Dawson's and Fresnel Integrals", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.
^ Dawson, H. G. (1897). "On the Numerical Value of $\textstyle \int _{0}^{h}\exp(x^{2})\,dx$ ". Proceedings of the London Mathematical Society. s1-29 (1): 519–522. doi:10.1112/plms/s1-29.1.519.

[1] Temme, N. M. (2010), "Error Functions, Dawson's and Fresnel Integrals", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.

[2] Dawson, H. G. (1897). "On the Numerical Value of $\textstyle \int _{0}^{h}\exp(x^{2})\,dx$ ". Proceedings of the London Mathematical Society. s1-29 (1): 519–522. doi:10.1112/plms/s1-29.1.519.

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