Further results on the compositions of distributions

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

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, vol.13, no.2, pp.109-116, 2002 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 13 Issue: 2
• Publication Date: 2002
• Doi Number: 10.1080/10652460212897
• Journal Name: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.109-116
• Hacettepe University Affiliated: Yes

Abstract

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....