Article ID Journal Published Year Pages File Type
4640008 Journal of Computational and Applied Mathematics 2011 10 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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