Difference between revisions of "Euler phi"
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=Properties= | =Properties= | ||
− | + | [[Relationship between Euler phi and q-Pochhammer]]<br /> | |
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] |
Revision as of 03:22, 22 June 2016
The Euler phi function is defined as $$\phi(q) = \displaystyle\prod_{k=1}^{\infty} 1-q^k.$$
- Qpochhammer(q,q)infty.png
Plot of $(q,q)_{\infty}$ for $q \in [-1,1]$.
- Complex qpochhammer (q,q) infty.png
Domain coloring of analytic continuation of $(q,q)_{\infty}$ to the unit disk.