Bull. Malays. Math. Sci. Soc. DOI 10.1007/s40840-016-0342-2 Note on the Distribution Composition ( x μ + ) λ Limonka Lazarova 1 · Biljana Jolevska-Tuneska 2 · ˙ Inci Aktürk 3 · Emin Özc . a˘ g 3 Received: 2 September 2015 / Revised: 8 March 2016 © Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2016 Abstract The composition of the distributions x λ and x μ + is evaluated for λ =−1, −2,... μ> 0 and λμ ∈ Z − . Further results are deduced. Keywords Distribution · Composition of distributions · Neutrix calculus · Neutrix limit · Neutrix composition · Hadamard’s finite part Mathematics Subject Classification Primary 46F10 · Secondary 46F30 1 Introduction In the following, we let D be the space of infinitely differentiable functions with compact support, let D[a, b] be the space of infinitely differentiable functions with Communicated by See Keong Lee. B Biljana Jolevska-Tuneska biljanaj@feit.ukim.edu.mk Limonka Lazarova limonka.lazarova@ugd.edu.mk Emin Özc . a˘ g ozcag1@hacettepe.edu.tr 1 Department of Mathematics, Faculty of Computer Science, University of Goce Delcev Stip, Šhtip, Republic of Macedonia 2 Faculty of Electrical Engineering and Informational Technologies, St. Cyrill and Methodius University in Skopje, Karpos II bb, Skopje, Republic of Macedonia 3 Department of Mathematics, Hacettepe University, Beytepe, Ankara, Turkey 123