|WikiProject Mathematics||(Rated Start-class, Low-priority)|
dots in the equation
The cube of the Euler function, and its natural logarithm are also interesting - insofar as they both have interesting (i.e. simple) Taylor expansions anout q=0.
Notation: possible confusion
The use of lowercase-phi for this function is potentially confusing, especially as it is also used as standard for Euler's totient function, albeit sometimes in a different script!
Is this function actually called the "Euler function?" I checked out the only reference on this page (Apostol, 1976), and it does not call it the Euler function, use the notation , nor does it give it any other name as far as I can tell. Furthermore, the book does not appear to mention q-series or q-Pochhammer symbols (at least according to the index). At the very least, this article needs more citations because Apostol 1976 is not sufficient for some of the things listed here. Lasindi (talk) 21:25, 28 October 2013 (UTC)
Response to Lasindi: (Sorry I'm a newb on wiki editing, so am just typing this here. Experts please fix as you see fit.) I also had trouble tracking down this terminology, but see page 8 of the paper https://arxiv.org/abs/1602.01085 where "Euler function" is used. I also looked at the Watson 1936 paper they cite, and in that paper Watson quotes the famous Ramanujan, who in turn called certain functions "Eulerian", which I guess led to calling (q,q)_infty an Euler function. — Preceding unsigned comment added by 22.214.171.124 (talk) 19:04, 25 April 2017 (UTC)
- This function is obviously directly related -as:
126.96.36.199 (talk) 20:39, 18 November 2009 (UTC).