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

  1. Oct 8, 2011 #1
    Is there anyway to calculate successive derivatives of the form

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

    Thanks.
     
  2. jcsd
  3. Oct 8, 2011 #2

    pwsnafu

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    If we are assuming [itex]f:\mathbb{R}\rightarrow \mathbb{R}[/itex] 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
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