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Note on the Distribution Composition \((x_+^\mu )^\lambda \)

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Abstract

The composition of the distributions \(x^\lambda \) and \(x_+^\mu \) is evaluated for \(\lambda = -1,-2,\ldots \quad \mu >0\) and \(\lambda \mu \in {{\mathbb {Z}}}^- .\) Further results are deduced.

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Acknowledgments

The second author was supported by Tubitak. This work was supported by the research project “Functional spaces, topological and statistical aspects and their application in electrical engineering” financed by State University “Goce Delcev”—Stip, Republic of Macedonia.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Computer Science, University of Goce Delcev Stip, Šhtip, Republic of Macedonia

    Limonka Lazarova

  2. Faculty of Electrical Engineering and Informational Technologies, St. Cyrill and Methodius University in Skopje, Karpos II bb, Skopje, Republic of Macedonia

    Biljana Jolevska-Tuneska

  3. Department of Mathematics, Hacettepe University, Beytepe, Ankara, Turkey

    İnci Aktürk & Emin Özc̣ağ

Authors
  1. Limonka Lazarova
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  2. Biljana Jolevska-Tuneska
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  3. İnci Aktürk
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  4. Emin Özc̣ağ
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Corresponding author

Correspondence to Biljana Jolevska-Tuneska.

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The authors declare that they have no conflict of interest.

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Communicated by See Keong Lee.

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Lazarova, L., Jolevska-Tuneska, B., Aktürk, İ. et al. Note on the Distribution Composition \((x_+^\mu )^\lambda \) . Bull. Malays. Math. Sci. Soc. 41, 709–721 (2018). https://doi.org/10.1007/s40840-016-0342-2

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  • DOI: https://doi.org/10.1007/s40840-016-0342-2

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