Difference between revisions of "Faber F2"
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(Created page with "The Faber function $F_2$ is defined by $$F_2(x)=\displaystyle\sum_{k=1}^{\infty} \dfrac{1}{k!} \displaystyle\int_{m \in \mathbb{Z}} \left|2^{k!}x-m \right|.$$") |
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The Faber function $F_2$ is defined by | The Faber function $F_2$ is defined by | ||
| − | $$F_2(x)=\displaystyle\sum_{k=1}^{\infty} \dfrac{1}{k!} \displaystyle\ | + | $$F_2(x)=\displaystyle\sum_{k=1}^{\infty} \dfrac{1}{k!} \displaystyle\inf_{m \in \mathbb{Z}} \left|2^{k!}x-m \right|.$$ |
| + | |||
| + | =See Also= | ||
| + | [[Faber function F1]] | ||
Revision as of 12:04, 5 January 2016
The Faber function $F_2$ is defined by $$F_2(x)=\displaystyle\sum_{k=1}^{\infty} \dfrac{1}{k!} \displaystyle\inf_{m \in \mathbb{Z}} \left|2^{k!}x-m \right|.$$
