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S Dec 16, 2017 at 10:21 history suggested CommunityBot CC BY-SA 3.0
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S Dec 16, 2017 at 10:21
Oct 24, 2014 at 20:32 comment added user155002 Fair enough, but how is different from so-called elementary functions? I mean, the important thing except adding a name to a series $\sum_{k=0}^\infty{x^k\over k!}$ is that one can prove the properties of $e^x$ and relate it to other functions (as many as possible). Then it becomes useful and somehow satisfactory. So I don't see a difference between $e^x$ and $_3F_1$ from this point of view.
Oct 24, 2014 at 16:48 comment added Ira Gessel This hypergeometric expression says no more and no less than that the coefficient of $x^{k+2}$ in the sum is $$\frac{1}{(n-k)!\,(k+2)}.$$
Oct 24, 2014 at 14:46 vote accept user155002
Oct 24, 2014 at 14:46 comment added user155002 Impressive, I gave up on Maple some time ago after some bad experience but... Thank you!
Oct 24, 2014 at 12:36 history answered joro CC BY-SA 3.0