Is there a closed form solution for the Laplace transform of a power function with a negative exponent?

Thanks much

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- July 26th 2008, 09:15 AMnuno almeidaLaplace transform of t^-h
Is there a closed form solution for the Laplace transform of a power function with a negative exponent?

Thanks much - July 26th 2008, 09:18 AMMathstud28
- July 26th 2008, 09:31 AMnuno almeida
Yes, I've encoutered L{t^p} = Gamma(p+1) / s^(p+1) for p>-1 , but I'm dealing with a fractal dimension which most probably is <-1.

Thanks anyway(Happy) - July 26th 2008, 05:56 PMThePerfectHacker
- July 26th 2008, 09:01 PMnuno almeida
Ohhh, I see.

Any thoughts then about analytically solve x*x^-h, being h a real constant, x the dependent variable and * the convolution operation?

Thanks much