Talk:Grünwald–Letnikov derivative

I know you're just starting (and it's a very good initial page), so maybe you already plan to get to these things, but most of the notation isn't clear, or I should say, it assumes the reader knows a lot. In the general derivative formula near the end, someone might not know what the binomial coefficient notation means outside of the standard context. Also, I'm not sure myself what R(q) is, should it just be q instead? Revolver


 * Is it supposed to be something like q&isin;R and q<0 or something? Dysprosia 05:32, 14 Dec 2003 (UTC)

I got that notation from one of the books listed on the fractional calculus page. I don't know how "proper" it is (But the text I got the notation from is pretty authoritative), but it's pretty straightforward, and I think that that's what's important.

Regarding the binomial coefficient: Yes, I intend to get to that. Thanks for pointing that out. I figure I'd insert something like what's on the Basic rules of differintegration page. Don't be shy to do it yourself, thou. I got some stuff I need o work on first, and I prefer other people to edit the pages that I focus on.

I was thinking of putting a lot of the info here on the differintegral page, such that there's a construction for the gunwald-letnikov differintegral on that page which is roughly the same size as that of the riemman-louiville. Also, taking out the Weyl differintegral, as it's just the riemann-louiville with different bounds of integration. Opinions?

And speaking of "q", the grunwald-letnikov as defined here is a differentation and not an integration, the problem being: there's no method for specifying the region of integration. So perhaps it should only be valid for q>=0?

-Kevin Baas -2003.12.14

The simpler form at the end is actually a trivial substitution: does that section reflect common usage and definitions (in particular the choice of capital delta for a symbol) or is it arbitrary stream-of consciousness math?


 * If you are asking whether it's original research, no. The sources are should be listed at the bottom of the article page. They are listed on the main fractional calculus page. Kevin Baastalk 14:48, 4 June 2009 (UTC)