SfunGammaIncomplete Method |
Namespace: Imsl.Math
The lower limit of integration of the incomplete gamma function, , is defined to be
Although is well defined for , this algorithm does not calculate for negative x. For large a and sufficiently large x, may overflow. is bounded by , and users may find this bound a useful guide in determining legal values for a.
Note that the upper limit of integration of the incomplete gamma, , is defined to be
Therefore, by definition, the two incomplete gamma function forms satisfy the relationship