Mongkolsery LinBrian FisherSomsak OrankitjaroenUniversity of LeicesterMahidol UniversityInstitute of Technology of Cambodia2020-01-272020-01-272019-01-01Eurasian Mathematical Journal. Vol.10, No.1 (2019), 30-51207798792-s2.0-85066235261https://repository.li.mahidol.ac.th/handle/20.500.14594/51236© The Eurasian National University. We define the distributions γ +(-r, x) and γ -(-r, x) from the incomplete Gamma function γ (-r, x) for negative integers. We then evaluate some convolutions and neutrix convolutions of these distributions and the functions (xs)+, (xs)- and xs.Mahidol UniversityMathematicsArticleSCOPUS10.32523/2077-9879-2019-10-1-30-51