Re: [math-fun] Hypergeometric solution of the quintic

* Neil Sloane <njasloane@gmail.com> [Mar 12. 2014 17:19]:

By coincidence, half an hour ago I was reading

Beukers, Frits. Hypergeometric functions, how special are they?Notices Amer. Math. Soc. 61 (2014), no. 1, 48--56. MR3137256

http://www.ams.org/notices/201401/

which discusses solving this quintic. I don't think it answers your question, but it is a very nice paper!

There are further references in http://oeis.org/A002294

Apparently including one by me: pp.337-338 of the book shows hypergeometric forms for series reversions of x^k - x and a closed form (rel.15.5-6) that surprised me a bit back then.

Neil

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Of course this message doesn't answer your question either 8-) Best regards, jj