Difference between revisions of "Dirichlet eta"
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Let $\mathrm{Re} \hspace{2pt} z > 0$, then define | Let $\mathrm{Re} \hspace{2pt} z > 0$, then define | ||
| − | $$\eta(z) = \displaystyle\sum_{n=1}^{\infty} \dfrac{(-1)^{n-1}}{n^ | + | $$\eta(z) = \displaystyle\sum_{n=1}^{\infty} \dfrac{(-1)^{n-1}}{n^z}.$$ |
<div align="center"> | <div align="center"> | ||
Latest revision as of 20:58, 5 November 2017
Let $\mathrm{Re} \hspace{2pt} z > 0$, then define $$\eta(z) = \displaystyle\sum_{n=1}^{\infty} \dfrac{(-1)^{n-1}}{n^z}.$$
Graph of $\eta$.
Domain coloring of $\eta$.
