Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640008 | Journal of Computational and Applied Mathematics | 2011 | 10 Pages |
Abstract
We represent the Generalized Incomplete Gamma Function Γ(α,x;b)=∫x∞tα−1exp(−t−bt)dt,α∈R,x≥0,b≥0,but not both x=b=0, if α≤0, as a sum of Modified Bessel Functions valid for non-integer αα. For integer values of αα we derive the corresponding limit case. Moreover, we discuss numerical techniques to evaluate this function.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
E.J.M. Veling,