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Published January 1, 2016 | Version v1
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Defining Compositions of x(mu)+, |x|(mu), x(-s), and x(-s) ln |x| as Neutrix Limit of Regular Sequences

Creators

  • 1. Hacettepe Univ, Dept Math, Ankara, Turkey
  • 2. Univ Doce Delcev, Dept Math, Fac Comp Sci, Stip, North Macedonia
  • 3. St Cyrill & Methodius Univ, Fac Elect Engn & Informat Technol, Karpos 2 Bb, Skopje, North Macedonia

Description

In this paper the compositions (x(+)(mu))(-s)(-)(x(+)(mu))(-s)(+), (|x| mu)(-s) (-) and (| x|(mu))(-s)(+) of distributions x(+)(mu), |x|(mu) and x(-s) are considered. They are defined via neutrix calculus for mu > 0, s = 1, 2,... and mu s epsilon Z(+). In addition, the composition of x(-s) ln|x| and x(+)(r) is also defined for r, s epsilon Z(+).

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