Extension of order of derivation
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From: ilario.mazzei on 21 Jun 2010 09:41 Using the binomial serier (+1-1)^n i was able to extend the order of derivation to complex numbers. Please read the article on my site (http://researchpages.my-host.org/home/) and post here comments. Thanks Ilario M.
From: Dave L. Renfro on 21 Jun 2010 14:13 Ilario M. wrote: > Using the binomial serier (+1-1)^n i was able to extend the > order of derivation to complex numbers. Please read the article > on my site (http://researchpages.my-host.org/home/) and post > here comments. You might get more interest if you explain how your idea relates to the similar well known notion in what's called "fractional calculus", which has its roots way back with Leibnitz (1690's) and which was extensively explored by Liouville in the 1800's. http://en.wikipedia.org/wiki/Fractional_calculus http://mathworld.wolfram.com/FractionalDerivative.html Dave L. Renfro
From: Ilario980 on 22 Jun 2010 01:20 Thanks for the post professor Renfro. Ilario M.
From: Ilario980 on 1 Jul 2010 11:09 As professor Renfro suggested to me, I've found a sketch of proof that shows the equivalence between fractional integral/derivative operator and operator I've found; please post yours comments about this proof (http://researchpages.my-host.org/home/). Thanks Ilario M.
From: alainverghote on 2 Jul 2010 04:34
On 1 juil, 21:09, Ilario980 <ilario.maz...(a)gmail.com> wrote: > As professor Renfro suggested to me, I've found a sketch of proof that shows the equivalence between fractional integral/derivative operator and operator I've found; please post yours comments about this proof (http://researchpages.my-host.org/home/). > Thanks > > Ilario M. Bonjour Ilario, This matter has been often seen and discussed on this site . EX: with given conventions we may write things such as f(x,y) = (d/dy)^[ln(x)/ln(2)] o exp(2y) Alain |