Fransén-Robinson Constant

$$F\equiv\int_0^\infty {dx\over\Gamma(x)}=2.8077702420\ldots,$$

where $\Gamma(x)$ is the Gamma Function.

See also Gamma Function

References

Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/fran/fran.html

Fransén, A. ``Accurate Determination of the Inverse Gamma Integral.'' BIT 19, 137-138, 1979.

Fransén, A. ``Addendum and Corrigendum to `High-Precision Values of the Gamma Function and of Some Related Coefficients.''' Math. Comput. 37, 233-235, 1981.

Fransén, A. and Wrigge, S. ``High-Precision Values of the Gamma Function and of Some Related Coefficients.'' Math. Comput. 34, 553-566, 1980.

Plouffe, S. ``Fransen-Robinson Constant.'' http://www.lacim.uqam.ca/piDATA/fransen.txt.