Defining Compositions of x(mu)+, |x|(mu), x(-s), and x(-s) ln |x| as Neutrix Limit of Regular Sequences


ÖZÇAĞ E. , Lazarova L., Jolevska-Tuneska B.

COMMUNICATIONS IN MATHEMATICS AND STATISTICS, cilt.4, ss.63-80, 2016 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 4 Konu: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s40304-015-0076-8
  • Dergi Adı: COMMUNICATIONS IN MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.63-80

Özet

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(+).