continuation of the "n-th derivative" function - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-25T16:17:07Z http://mathoverflow.net/feeds/question/86360 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/86360/continuation-of-the-n-th-derivative-function continuation of the "n-th derivative" function alberto.bosia 2012-01-22T09:09:48Z 2012-01-22T09:19:24Z <p>let $D_{\mathbb N}$ be the standard "n-th derivative" function</p> <p>is it possible to make a continuation of $D_{\mathbb N}$ to non integer values?</p> <p>i mean a function $D_{\mathbb R}$ such that $D_{\mathbb R}(x,f)=D_{\mathbb N}(n,f)$ for all $x=n\in\mathbb N$</p> <p>it should be something relevant, linear interpolation usually doesn't make any sense.</p> http://mathoverflow.net/questions/86360/continuation-of-the-n-th-derivative-function/86362#86362 Answer by Łukasz Świstek for continuation of the "n-th derivative" function Łukasz Świstek 2012-01-22T09:19:24Z 2012-01-22T09:19:24Z <p>I think you are looking for something like this: <a href="http://en.wikipedia.org/wiki/Fractional_derivative" rel="nofollow">http://en.wikipedia.org/wiki/Fractional_derivative</a></p>