Difference between revisions of "Faber F1"
From specialfunctionswiki
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The Faber function $F_1$ is defined by | The Faber function $F_1$ is defined by | ||
$$F_1(x)=\displaystyle\sum_{k=1}^{\infty} \dfrac{1}{10^k} \displaystyle\inf_{m \in \mathbb{Z}} \left|2^{k!} x -m \right|.$$ | $$F_1(x)=\displaystyle\sum_{k=1}^{\infty} \dfrac{1}{10^k} \displaystyle\inf_{m \in \mathbb{Z}} \left|2^{k!} x -m \right|.$$ | ||
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| + | =See Also= | ||
| + | [[Faber function F2]] | ||
| + | |||
| + | =References= | ||
| + | [https://pure.ltu.se/ws/files/30923977/LTU-EX-03320-SE.pdf] | ||
Revision as of 12:04, 5 January 2016
The Faber function $F_1$ is defined by $$F_1(x)=\displaystyle\sum_{k=1}^{\infty} \dfrac{1}{10^k} \displaystyle\inf_{m \in \mathbb{Z}} \left|2^{k!} x -m \right|.$$
