# Generating function for Newton series?

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

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

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