Definition: The gamma function of n, written Γ(n), is ∫ 0∞ e-xxn-1dx. Recursively Γ(n+1) = nΓ(n). For non-negative integers Γ(n+1) = n!.
See also Stirling's formula.
Note: The gamma function is defined for all numbers whereas factorial is (strictly) only defined for non-negative integers.
MathWorld's gamma function
If you have suggestions, corrections, or comments, please get in touch with Paul Black.
Entry modified 17 December 2004.
HTML page formatted Wed Mar 13 12:42:46 2019.
Cite this as:
Paul E. Black, "gamma function", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 17 December 2004. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/gammaFunction.html