05/07/2014, 03:18 PM

(05/07/2014, 03:25 AM)mike3 Wrote: \( \beta(x) = \frac{1}{2 \pi i} \int_{\sigma - i \infty}^{\sigma + i \infty} \G(z)F(z)x^{-z}\,dx \)

Yes that should read \( dz \) My mistake ^_^

\( \beta(x) = \frac{1}{2 \pi i} \int_{\sigma - i \infty}^{\sigma + i \infty} \G(z)F(z)x^{-z}\,dz \)

As for your question on the tetration integral not working I hsould mention with \( \lambda =1 \) its no longer going to approximate tetration. I was just hoping we would still have some nice decay properties, but I guess not.

I'm really stumped on applying this to tetration at the moment. But I feel like theres got to be a way using fractional calculus, I'm just missing it.