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Questions related to various forms of integration including the Riemann integral, Lebesgue integral, Riemann–Stieltjes integral, double integrals, line integrals, contour integrals, surface integrals, integrals of differential forms, ...

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How to perform this integral to get a closed/ semi closed form

I want to get a closed/ semi-closed form of the integral given below. $$ \int_{-\infty}^{+\infty} \exp{\left(-\frac{(x - \mu)^2}{2\sigma^2}\right)} \text{erf}\left(\alpha \frac{x-\mu}{\sqrt{2}\sigma}\ …
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2 votes
1 answer
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Is this integral solvable analytically?

I have this integral that comes from my research with some Fourier Transforms of spectrum functions: $$ G(\tau) = \int_{0}^{\infty} e^{-\Lambda x} x^n e^{i \tau ( c_1 - c_2 e^{-c_3 x} ) } dx $$ where …
CfourPiO's user avatar
  • 159