# The (a+ib) derivative of f(x)

1. Oct 8, 2011

### dimension10

Is there anyway to calculate successive derivatives of the form

$$\frac{{d}^{a+ib}}{d{x}^{a+ib}} [f(x)]$$

Thanks.

2. Oct 8, 2011

### pwsnafu

If we are assuming $f:\mathbb{R}\rightarrow \mathbb{R}$ this is precisely the http://en.wikipedia.org/wiki/Riemann%E2%80%93Liouville_integral" [Broken] derivative.

Find a book on fractional calculus and the most of the result transfer to complex orders directly.

Last edited by a moderator: May 5, 2017