Gamma Function of One Half/Decimal Expansion

Gamma Function of One Half

Let $\Gamma$ denote the Gamma function.

The decimal expansion of $\map \Gamma {\dfrac 1 2}$ starts:

$\map \Gamma {\dfrac 1 2} = 1 \cdotp 77245 \, 38509 \, 05516 \, 02729 \, 81674 \, 83341 \, 14518 \, 27975 \ldots$

This sequence is A002161 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).


Sources

  • 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): Table $1.1$. Mathematical Constants
  • 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 1$: Special Constants: $1.23$
  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $1 \cdotp 772 \, 453 \, 850 \, 905 \, 516 \, 027 \, 298 \, 167 \, 483 \, 341 \, 145 \, 182 \, 797 \ldots$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1 \cdotp 77245 \, 38509 \, 05516 \, 02729 \, 81674 \, 83341 \, 14518 \, 27975 \ldots$
  • 2009: Murray R. Spiegel, Seymour Lipschutz and John Liu: Mathematical Handbook of Formulas and Tables (3rd ed.) ... (previous) ... (next): $\S 1$: Special Constants: $1.6.$
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