On the non-commutative neutrix product of the distributions xr lnp |x| and x-s

Fisher B., TAŞ K.

Integral Transforms and Special Functions, vol.16, no.2, pp.131-138, 2005 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 2
  • Publication Date: 2005
  • Doi Number: 10.1080/1065246042000272018
  • Journal Name: Integral Transforms and Special Functions
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.131-138
  • Keywords: Delta-function, Distribution, Neutrix, Neutrix limit, Neutrix product
  • Uşak University Affiliated: No

Abstract

The non-commutative neutrix product of the distributions xr lnp |x| and x-s is evaluated for r - s = -2, -3, ..., p = 1,2, .... © 2005 Taylor & Francis Ltd.