Sep 10, 2015
Generalized Gaussian integrals
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Both [3] and [4] use Gaussian integrals with both (negative) real, and imaginary arguments, which give the impression that the following is true:
\begin{equation}\label{eqn:generalizedGaussian:20} \int_{-\infty}^\infty \exp\lr{ a x^2 } dx = \sqrt{\frac{-\pi}{a}}, \end{equation}
even when \( a \) is not a real negative constant, and in…
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