Is there a closed form solution for the Laplace transform of a power function with a negative exponent? Thanks much
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Originally Posted by nuno almeida Is there a closed form solution for the Laplace transform of a power function with a negative exponent? Thanks much Don't quote me but I think only if -h>-1. Gamma function
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
Originally Posted by nuno almeida Is there a closed form solution for the Laplace transform of a power function with a negative exponent? Thanks much The Laplace operator is not going to converge if <-1
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
Last edited by nuno almeida; Jul 28th 2008 at 05:58 AM.
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