Fransén-Robinson constant

English

Named after mathematicians Arne Fransén and Herman P. Robinson.

(mathematics) The numeric value of the integral over the positive real numbers of the reciprocal of the gamma function, $\textstyle F=\int _{0}^{\infty }{\frac {1}{\Gamma (x)}}dx=2.8077702420285...$ $\textstyle F=\int _{0}^{\infty }{\frac {1}{\Gamma (x)}}dx=2.8077702420285...$ .
- 2003, Steven R. Finch, Mathematical Constants, Cambridge University Press, page 262:
  Sebah [6] utilized the Clenshaw—Curtis method (based on Chebyshev polynomials) to compute the Fransén—Robinson constant to over 600 digits.

integral of the reciprocal gamma function over the positive real numbers