Dergi makalesi Açık Erişim

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

2016    Ozcag, Emin; Lazarova, Limonka; Jolevska-Tuneska, Biljana

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(+).