The composition of the distributions x(-)(lambda) ln(s) x(-) and x(+)(-r/lambda)
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.13, sa.3, 2020 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 3
- Basım Tarihi: 2020
- Doi Numarası: 10.1142/s1793557120500618
- Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
- Hacettepe Üniversitesi Adresli: Evet
Özet
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