The early English editions, at least, of I. S. Gradshteyn and I. M.
Ryzhik, Table of Integrals, Series, and Products, were just phototypeset
from the Russian. They included the rather pointless identity,
(c37) (simpprod:false,'prod(gamma(z+k/3),k,1,8),
%%=factcomb(mulfactorial(mulfactorial(apply_nouns(%%)))))
8
/===\
| | k
(d37) | | Gamma(z + -) =
| | 3
k = 1
3
8 %pi Gamma(3 (z + 2)) Gamma(3 z + 1) Gamma(3 z + 4)
-----------------------------------------------------
9 z + 19/2
3 gamma(z + 2)
(or very nearly), but disguised as something nontrivial by virtue of the
"8" being misprinted as infinity. In a later edition, someone had
cleverly scissored out the oo and turned it upright! Can someone scan
me in that bit of typographic rectitude? (If it looks like an ordinary
8, then your edition has been retypeset. And an editor missed an
opportunity to elide a formula that never would have been in there,
had it been printed correctly in the source.)
--rwg
NORTHUPITES SHORTEN IT UP
CHAMPERTOUS CAME UP SHORT
---------------------------------
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