  E661 in the Enestrom index. This was originally published as "Variae
considerationes circa series hypergeometricas" (1776).
  In this paper Euler is looking at the asymptotic behavior of infinite
products that are similar to the Gamma function. He looks at the relations
between some infinite products and integrals. He takes the logarithm of these
infinite products, and expands these using the Euler-Maclaurin summation
formula.
  In section 14, Euler seems to be rederiving some of the results he already
proved in the paper. However I do not see how these derivations are different.
If any readers think they understand please I would appreciate it if you could
email me.
  I am presently examining Euler's work on analytic number theory. The two main
topics I want to understand are the analytic continuation of analytic functions
and the connection to divergent series, and the asymptotic behavior of the
Gamma function.

History and Overview;Classical Analysis and ODEs