Complex GamU(a, x) = Upper Incomplete Gamma Function


If a.i == 0 and x.i == 0 and a.r != −int and x.r >= 0, use the real GamU(a.r, x.r) function.

Else if x = 0,

If a is a real integer <= zero, "Cannot take GamU(a, 0) if a is an integer <= zero".

Else GamU(a, 0) = Gam(a).

Else if a is not a real integer <= zero and (x < a + 1 or x < 100), compute GamL(a, x) by series, Then GamU(a, x) = Gam(a) − GamL(a, x).

Else Compute GamU(a, x) by continued fraction method.

See: Incomplete Gamma Function -- From MathWorld
And: Wolfram Function Evaluation -- Gamma2 (GamU(a, x) = Gamma[a, x])

Return to Complex Computations
Return to Harry's Home Page


This page accessed times since Feb 13, 2006.
Page created by: hjsmithh@sbcglobal.net
Changes last made on Monday, 06-Aug-07 16:15:42 PDT

1