TOPICS
Search

Fransén-Robinson Constant

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook
FransenRobinson

The Fransén-Robinson constant F is defined by

F=int_0^infty(dx)/(Gamma(x))=2.8077702420...

(OEIS A058655) where Gamma(x) is the gamma function. No closed-form expression in terms of other constants is known for F.

See also

Gamma Function

Explore with Wolfram|Alpha

References

Finch, S. R. "Fransén-Robinson Constant." §4.6 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 262-264, 2003.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.Sloane, N. J. A. Sequence A058655 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Fransén-Robinson Constant

Cite this as:

Weisstein, Eric W. "Fransén-Robinson Constant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Fransen-RobinsonConstant.html

Subject classifications