The composition of the distributions x(-)(lambda) ln(s) x(-) and x(+)(-r/lambda)
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, vol.13, no.3, 2020 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 13 Issue: 3
- Publication Date: 2020
- Doi Number: 10.1142/s1793557120500618
- Journal Name: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
- Hacettepe University Affiliated: Yes
Abstract
The composition F(f(x)) of a distribution F(x) and a locally summable function f(x) is defined as the neutrix limit of the regular sequence {F-n(f(x))}. In this paper, we prove that the neutrix composition of the distributions x(-)(lambda) ln(s) x- and x(+)(-r/lambda) exists and equals