I'm trying to integrate the function exp((-2*pi*i*y^2)/m) dy from 0 to inf. I've tried using the substitution u=y/sqrt(m) but just cannot do it. Is this integral even possible to evaluate?
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Hint Separate real and imaginary parts. With an adequate substitution you'll obtain the Fresnel integrals.
In M.R. Spiegel - Laplace Transforms - Mc Grow-Hill 1965 You can read... (1) Setting in (1) and with little computation You [should] obtain... (2) Kind regards
Let us see if M.R. Spiegel is right We have using : where are the Fresnel integrals. So,
Thanks for this.
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