Could be tetration if this integral converges

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Could be tetration if this integral converges

JmsNxn $Offline$
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#31

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.

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Messages In This Thread

Could be tetration if this integral converges - by JmsNxn - 04/03/2014, 02:14 PM

RE: Could be tetration if this integral converges - by sheldonison - 04/30/2014, 11:17 AM

RE: Could be tetration if this integral converges - by JmsNxn - 05/02/2014, 03:33 PM

RE: Could be tetration if this integral converges - by tommy1729 - 04/30/2014, 12:29 PM

RE: Could be tetration if this integral converges - by mike3 - 05/03/2014, 01:19 AM

RE: Could be tetration if this integral converges - by tommy1729 - 05/11/2014, 04:26 PM

RE: Could be tetration if this integral converges - by JmsNxn - 05/11/2014, 04:30 PM

RE: Could be tetration if this integral converges - by tommy1729 - 05/11/2014, 04:52 PM

RE: Could be tetration if this integral converges - by mike3 - 05/03/2014, 05:24 AM

RE: Could be tetration if this integral converges - by mike3 - 05/03/2014, 07:13 AM

RE: Could be tetration if this integral converges - by JmsNxn - 05/03/2014, 06:12 PM

RE: Could be tetration if this integral converges - by mike3 - 05/04/2014, 02:18 AM

RE: Could be tetration if this integral converges - by JmsNxn - 05/04/2014, 07:27 PM

RE: Could be tetration if this integral converges - by mike3 - 05/05/2014, 12:55 AM

RE: Could be tetration if this integral converges - by mike3 - 05/04/2014, 11:50 AM

RE: Could be tetration if this integral converges - by sheldonison - 05/04/2014, 03:28 PM

RE: Could be tetration if this integral converges - by mike3 - 05/05/2014, 01:00 AM

RE: Could be tetration if this integral converges - by sheldonison - 05/05/2014, 03:49 PM

RE: Could be tetration if this integral converges - by tommy1729 - 05/04/2014, 01:25 PM

RE: Could be tetration if this integral converges - by JmsNxn - 05/04/2014, 07:36 PM

RE: Could be tetration if this integral converges - by MphLee - 05/04/2014, 07:44 PM

RE: Could be tetration if this integral converges - by mike3 - 05/04/2014, 10:42 PM

RE: Could be tetration if this integral converges - by JmsNxn - 05/04/2014, 11:32 PM

RE: Could be tetration if this integral converges - by JmsNxn - 05/04/2014, 09:06 PM

RE: Could be tetration if this integral converges - by mike3 - 05/05/2014, 02:11 AM

RE: Could be tetration if this integral converges - by JmsNxn - 05/05/2014, 04:27 PM

RE: Could be tetration if this integral converges - by mike3 - 05/05/2014, 11:45 PM

RE: Could be tetration if this integral converges - by JmsNxn - 05/06/2014, 12:11 AM

RE: Could be tetration if this integral converges - by mike3 - 05/06/2014, 06:50 AM

RE: Could be tetration if this integral converges - by JmsNxn - 05/06/2014, 03:54 PM

RE: Could be tetration if this integral converges - by mike3 - 05/07/2014, 03:25 AM

RE: Could be tetration if this integral converges - by JmsNxn - 05/07/2014, 03:18 PM

RE: Could be tetration if this integral converges - by mike3 - 05/11/2014, 07:47 AM

RE: Could be tetration if this integral converges - by JmsNxn - 05/11/2014, 04:29 PM

RE: Could be tetration if this integral converges - by mike3 - 05/11/2014, 11:26 PM

RE: Could be tetration if this integral converges - by JmsNxn - 05/12/2014, 01:44 AM

RE: Could be tetration if this integral converges - by mike3 - 05/12/2014, 02:15 AM

RE: Could be tetration if this integral converges - by JmsNxn - 05/12/2014, 03:32 PM

RE: Could be tetration if this integral converges - by tommy1729 - 05/12/2014, 11:26 PM

RE: Could be tetration if this integral converges - by JmsNxn - 05/13/2014, 01:58 PM

RE: Could be tetration if this integral converges - by JmsNxn - 05/05/2014, 06:18 PM

RE: Could be tetration if this integral converges - by tommy1729 - 05/05/2014, 09:09 PM

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