GamL(a, x) = Lower Incomplete Gamma Function

GamL(a, x) is the lower incomplete Gamma function with parameter a and argument x. It is defined as the Integral from 0 to x of exp(−t) * t^(a−1) dt (a > 0).

If x < a + 1 or x < 100,

is used, summed for n = 0 to when the sum stops changing.

If x >= a + 1 and x >= 100,

where GamU is the upper incomplete Gamma function. See the GamU(a, x) function.

Cannot take GamL(a, x) if a is an integer <= zero, except GamL(0, 0) = 0.

And: Wolfram Function Evaluation -- Gamma3 (GamL(a, x) = Gamma[a, 0, x])

Return to Number Theory, Algorithms, and Real Functions
Return to Harry's Home Page

---

This page accessed times since Feb 9, 2006.
Page created by: hjsmithh@sbcglobal.net
Changes last made on Monday, 06-Aug-07 20:47:18 PDT

---