@article{10902/11338, year = {2017}, month = {1}, url = {http://hdl.handle.net/10902/11338}, abstract = {An algorithm for computing the incomplete gamma function ?*(a, z) for real values of the parameter a and negative real values of the argument z is presented. The algorithm combines the use of series expansions, Poincaré-type expansions, uniform asymptotic expansions, and recurrence relations, depending on the parameter region. A relative accuracy ~10-13 in the parameter region (a, z) ? [- 500, 500] × [- 500, 0) can be obtained when computing the function ?*(a, z) with the Fortran 90 module IncgamNEG implementing the algorithm.}, organization = {The authors acknowledge financial support from Ministe- rio de Econom´ıa y Competitividad, project MTM2012-34787}, publisher = {Association for Computing Machinery (ACM)}, publisher = {ACM Transactions on Mathematical Software V. 43 Issue 3, January 2017 Article No. 26}, title = {Algorithm 969: Computation of the Incomplete Gamma Function for Negative Values of the Argument}, author = {Gil Gómez, Amparo and Ruiz Antolín, Diego and Segura Sala, José Javier and Temme, Nicolaas Maria}, }