Some results on the neutrix composition of the delta function

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Fisher B., ÖZÇAĞ E.

FILOMAT, vol.26, no.6, pp.1247-1256, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 6
  • Publication Date: 2012
  • Doi Number: 10.2298/fil1206247f
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1247-1256
  • Hacettepe University Affiliated: Yes

Abstract

In this paper we prove that the neutrix composition delta((s)){[exp(+)(x) - H(x)](1/r)} exists for r = 1,2, ... and s = 0,1,2, ... and in particular