Laplace function of bell-shape time function


What is the laplace function of bell-shape time function?
Reply to
sofin
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Do you mean what is the Laplace transform of a Gaussian time function?
The _Fourier_ transform of a Gaussian is a Gaussian. You can probably, with effort, generalize that to a Laplace transform. Be careful -- there will be mathematicians waiting in the background, ready to excoriate you over some undotted 'i' or uncrossed 't'.
Reply to
Tim Wescott
use Gaussian function, and its Laplace Transform is
e^(s^2/4)sqrt(pi)(1/2)erfc(s/2).
Reply to
sofin

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