[math-fun] Catalan's remains mysterious
I just fixed an egregious paste-o in gosper.org/pathi.pdf giving a second, spurious value for ζ(2,¼) instead of the intended ζ(2,¾), leading to an absurd "closed form" for Catalan's constant. --rwg (I also wasted > ½ an hr trying to figure out why the new pdf didn't replace the old one at gosper.org. Eventually it did.) DLMF question: Due to the braindead hidden 1 in ₂F₁ notation, it can't express arcsin². So where in DLMF is the ₃F₂?
Just put a 1 into the upper parameters to cancel that lower hidden 1: (arcsin(z))^2 = z^2 * F([1, 1, 1], [3/2, 2], z^2) At least that's what my notes say (fxtbook, p.700). Best regards, jj * Bill Gosper <billgosper@gmail.com> [Feb 19. 2017 08:50]:
I just fixed an egregious paste-o in gosper.org/pathi.pdf giving a second, spurious value for ζ(2,¼) instead of the intended ζ(2,¾), leading to an absurd "closed form" for Catalan's constant. --rwg (I also wasted > ½ an hr trying to figure out why the new pdf didn't replace the old one at gosper.org. Eventually it did.)
DLMF question: Due to the braindead hidden 1 in ₂F₁ notation, it can't express arcsin². So where in DLMF is the ₃F₂? _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
participants (2)
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Bill Gosper -
Joerg Arndt