Difference between revisions of "Euler phi"
From specialfunctionswiki
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File:Eulerphiplot.png|Graph of $\phi$. | File:Eulerphiplot.png|Graph of $\phi$. | ||
− | File: | + | File:Complexeulerphiplot.png|[[Domain coloring]] $\phi$. |
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Revision as of 03:59, 22 June 2016
The Euler phi function (not to be confused with the Euler totient) is defined for $q \in \mathbb{C}$ with $|q|<1$ by $$\phi(q) = \displaystyle\prod_{k=1}^{\infty} 1-q^k.$$
Domain coloring $\phi$.
Properties
Relationship between Euler phi and q-Pochhammer