Difference between revisions of "Fransén–Robinson constant"
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(Created page with "The Fransén–Robinson constant is defined to be the number $F$ given by the formula $$F = \displaystyle\int_0^{\infty} \dfrac{1}{\Gamma(x)} dx.$$") |
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The Fransén–Robinson constant is defined to be the number $F$ given by the formula | The Fransén–Robinson constant is defined to be the number $F$ given by the formula | ||
$$F = \displaystyle\int_0^{\infty} \dfrac{1}{\Gamma(x)} dx.$$ | $$F = \displaystyle\int_0^{\infty} \dfrac{1}{\Gamma(x)} dx.$$ | ||
| + | <div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> | ||
| + | <strong>Proposition (Relation to [[e|$e$]] and [[pi|$\pi$]]):</strong> $F=e+\displaystyle\int_0^{\infty} \dfrac{e^{-x}}{\pi^2+\log(x)^2}.$ | ||
| + | <div class="mw-collapsible-content"> | ||
| + | <strong>Proof:</strong> proof goes here █ | ||
| + | </div> | ||
| + | </div> | ||
Revision as of 17:26, 21 September 2014
The Fransén–Robinson constant is defined to be the number $F$ given by the formula $$F = \displaystyle\int_0^{\infty} \dfrac{1}{\Gamma(x)} dx.$$
