Note on the distribution composition \((x_+^\mu )^\lambda \)

DOI10.1007/S40840-016-0342-2zbMath1397.46032OpenAlexW2326516350MaRDI QIDQ1746710

İnci Aktürk, Emin Özçağ, Limonka Lazarova, Biljana Tome Jolevska-Tuneska

Publication date: 25 April 2018

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-016-0342-2

zbMATH Keywords

distributionneutrix limitcomposition of distributionsneutrix calculusneutrix compositionHadamard's finite part

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10)

Related Items (3)

Defining compositions of \(x_+^\mu\), \(|x|^\mu\), \(x^{-s}\), and \(x^{-s}\ln |x|\) as neutrix limit of regular sequences ⋮ The composition of the distributions x−λlnsx− and x+−r/λ ⋮ On powers of the compositions involving Dirac-delta and infinitely differentiable functions

Cites Work

• On powers of the Heaviside function for negative integers
• Further Results on the Compositions of Distributions
• The distribution composition \((x_+^r)^{-s}\)
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