The function GeneratingFunction gives generating function for Taylor series. Is there a similar function for Newton's series?

$$f(x) = \sum_{k=0}^\infty \binom{x}k \Delta^k [f]\left (0\right)$$

  • $\begingroup$ Your notation seems confused. k seems to be use to denote two different things. $\endgroup$ – m_goldberg Sep 11 '14 at 9:42
  • $\begingroup$ @m_goldberg, I think there is $n$ instead of $k$ in the l.h.s. of the last formula. $\endgroup$ – ybeltukov Sep 11 '14 at 10:48
  • $\begingroup$ @ybeltukov last formula is not mine, somebody inserted it. I remove it. $\endgroup$ – Anixx Sep 11 '14 at 14:10
  • $\begingroup$ @m_goldberg Why the downvote? $\endgroup$ – Anixx Sep 11 '14 at 14:10
  • 2
    $\begingroup$ @belisarius Why are you editing with half a sheep? (Maybe I shouldn't ask..) $\endgroup$ – Daniel Lichtblau Sep 11 '14 at 20:02

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