The composition of the distributions x(-)(lambda) ln(s) x(-) and x(+)(-r/lambda)


Fisher B., ÖZÇAĞ E.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.13, sa.3, 2020 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Konu: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1142/s1793557120500618
  • Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS

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