Algorithm 926: Incomplete Gamma Functions with Negative Arguments

Authors:
Ian Thompson
Affiliations:
University of Liverpool
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
2013

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Abstract

An algorithm for accurately computing the lower incomplete gamma function γ(a, t) in the case where a = n + 1/2, n ∈ Z and t n, and these results are used to initiate stable recurrence. The algorithm has been implemented in Fortran 2003, with precompuations carried out in Maple.