Further results on the compositions of distributions

Fisher, B; Jolevska-Tuneska, B; Ozcag, EMİN

doi:10.1080/10652460212897

Further results on the compositions of distributions

Fisher B., Jolevska-Tuneska B., Ozcag E.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.13, sa.2, ss.109-116, 2002 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 13 Sayı: 2
Basım Tarihi: 2002
Doi Numarası: 10.1080/10652460212897
Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.109-116
Hacettepe Üniversitesi Adresli: Evet

Özet

Let F be a distribution and let f be a locally summable function. The distribution F(f) is defined as the neutrix limit of the sequence {F-n(f)}, where F-n(x) = F(x) (*) delta(n)(x) and {delta(n)(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function delta(x). The distribution (\x\(r) (- 1/2))(-4s) is evaluated for r, s = 1,2....