Generating function for Newton series?

Asked Sep 11 '14 at 00:51

Active Sep 11 '14 at 14:10

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

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

edited Sep 11 '14 at 14:10

asked Sep 11 '14 at 00:51

Anixx

Your notation seems confused. k seems to be use to denote two different things. – m_goldberg Sep 11 '14 at 09:42
@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
I down-voted because of the confused notation. I have removed it. – m_goldberg Sep 11 '14 at 14:37
T'was me. I edited the question. Sorry, I shouldn't do that half asleep. – Dr. belisarius Sep 11 '14 at 15:57
2

@belisarius Why are you editing with half a sheep? (Maybe I shouldn't ask..) – Daniel Lichtblau Sep 11 '14 at 20:02
I'm still not exactly sure what is wanted. A simple example of input and desired output would be very useful. – Daniel Lichtblau Sep 11 '14 at 20:07
@DanielLichtblau Because the other half was here http://k38.kn3.net/taringa/0/3/6/7/5/0/nachomsn/E98.jpg?6379 – Dr. belisarius Sep 11 '14 at 20:09
@belisarius I think I should stick to discussions about rams. – Daniel Lichtblau Sep 11 '14 at 20:14
@DanielLichtblau For doing symbolic calcs you need symbolic RAMs. That's where most people err http://i.dailymail.co.uk/i/pix/2013/01/18/article-2264281-16FEE9E3000005DC-300_634x382.jpg – Dr. belisarius Sep 11 '14 at 20:20

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