Some results on the non-commutative neutrix product of distributions

Fisher B., TAŞ K.

Integral Transforms and Special Functions, vol.20, no.1, pp.35-44, 2009 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 1
  • Publication Date: 2009
  • Doi Number: 10.1080/10652460802379368
  • Journal Name: Integral Transforms and Special Functions
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.35-44
  • Keywords: Delta-function, Distribution, Neutrix, neutrix limit, Neutrix product
  • Uşak University Affiliated: No

Abstract

It is proved that the non-commutative neutrix product of the distributions x-r and xslnq|x| exists and [image omitted] for r, q=1, 2, s=0,±1,±2, and r-s>1. © 2009 Taylor & Francis.