# Tagged Questions

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### Inverse Laplace Transform Failing: $\frac{1}{\exp (\beta \tau )-a}$

I have tried various approaches to get the solution to this inverse transform but all so far are failing. ...
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### Inverse Laplace transform for (Coth(s),Tanh(s),Sech(s),Csch(s))

InverseLaplaceTransform[Coth[s], s, t] InverseLaplaceTransform[Tanh[s], s, t] InverseLaplaceTransform[Sech[s], s, t] InverseLaplaceTransform[Csch[s], s, t] ...
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### Fourier transform of Exp[x]/x

Could you please explain why Mathematica gives the following expression when taking Fourier transform of $\exp(\lambda z)/\lambda$? $$\frac{-\log(-z)+\log(z)}{\sqrt{2\pi}}$$ Why the answer does not ...
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### Inverse Laplace transform

Let $r=\mu = 0.15; \sigma = 0.05; T = 1; S_0 = 100; K = 95;$ Let $\nu:=\frac{2\mu}{\sigma^2}-1$ and $\eta \equiv\eta(\alpha):=-\frac{\nu}{2}+\frac{1}{2}\sqrt{\nu^2+\frac{8\alpha}{\sigma^2}}$. ...
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### Convergence conditions of the Laplace Transform [closed]

I have to calculate some Laplace Integrals but if I use LaplaceTransform then it does not give the conditions when the integral converges. Is there an option to get ...
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### Transfer function in recursive form [closed]

To get transfer function in recursive form, I tried this: ...
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### How to get a difference of two contour integrals depending on integer parameter?

I have two following functions: ...
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### Discrepancy between laplace and fourier transform of gaussian

The function in question is Exp[x^2/2] for x>0 Laplace transform should be the same as the fourier transform since the function is absolutely integrable. Fourier: They are indeed the same ...
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### Bilateral ZTransform

Is there support for bilateral Z-transform in Mathematica, or a third-party package?
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### Inverse Laplace computation Mathematica [closed]

I have a transfer function such as following, which I would like to find its inverse: F=(a*s^2)/(b*s^3+c*s^2+d*s+e) I have a numeric value for a b c d and e but ...