Fransén-Robinson constant

English

Etymology

Named after mathematicians Arne Fransén and Herman P. Robinson.

Proper noun

Fransén-Robinson constant

1. (mathematics) The numeric value of the integral over the positive real numbers of the reciprocal of the gamma function, $\textstyle F=\int _{0}^{\infty }{\frac {1}{\Gamma (x)}}dx=2.8077702420285...$.
   • 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.

Translations

integral of the reciprocal gamma function over the positive real numbers

• French: constante de Fransén-Robinson f
• German: Fransén–Robinson-Konstante f
• Swedish: Fransén–Robinsons konstant c

Further reading

• Fransén–Robinson constant on Wikipedia.Wikipedia
• Fransén-Robinson Constant on Wolfram MathWorld
• A058655 on On-Line Encyclopedia of Integer Sequences