Documentation Center

  • Trial Software
  • Product Updates


Gamma function


Y = gamma(X)


The gamma function is defined by the integral:

The gamma function interpolates the factorial function. For integer n:

gamma(n+1) = n! = prod(1:n)


Y = gamma(X) returns the gamma function at the elements of X. X must be real.

More About

expand all


The computation of gamma is based on algorithms outlined in [1]. Several different minimax rational approximations are used depending upon the value of A.


[1] Cody, J., An Overview of Software Development for Special Functions, Lecture Notes in Mathematics, 506, Numerical Analysis Dundee, G. A. Watson (ed.), Springer Verlag, Berlin, 1976.

[2] Abramowitz, M. and I.A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series #55, Dover Publications, 1965, sec. 6.5.

See Also

| | |

Was this topic helpful?