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On the Crossed Term Integral Occuring in the Coulomb Self-Energy of Uniformly Charged Hollow Cylinder

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Book cover Recent Advances in Intelligent Engineering

Part of the book series: Topics in Intelligent Engineering and Informatics ((TIEI,volume 14))

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Abstract

The article aims at studying elliptic integral form of the so–called crossed term integral occurring in description of Coulomb self-energy of a uniformly charged three-dimensional hollow cylinder. Firstly, uniform bounds are established for the Kampé de Fériet double hypergeometric function occurring in the recent related results by Batle, Ciftja and Pogány [4]. Secondly, related bilateral bounding inequalities are obtained for the expressions established in terms of elliptic integrals.

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Author information

Authors and Affiliations

  1. Institute of Applied Mathematics, Óbuda University, Budapest, H-1034, Hungary

    Árpád Baricz & Tibor K. Pogány

  2. Department of Economics, Babeş-Bolyai University, 400591, Cluj-Napoca, Romania

    Árpád Baricz

  3. Faculty od Maritime Studies, University of Rijeka, 51000, Rijeka, Croatia

    Tibor K. Pogány

Authors
  1. Árpád Baricz
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  2. Tibor K. Pogány
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Corresponding author

Correspondence to Tibor K. Pogány .

Editor information

Editors and Affiliations

  1. Obuda University, Budapest, Hungary

    Levente Kovács

  2. Óbuda University, Budapest, Hungary

    Tamás Haidegger

  3. Óbuda University, Budapest, Hungary

    Anikó Szakál

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Baricz, Á., Pogány, T.K. (2020). On the Crossed Term Integral Occuring in the Coulomb Self-Energy of Uniformly Charged Hollow Cylinder. In: Kovács, L., Haidegger, T., Szakál, A. (eds) Recent Advances in Intelligent Engineering. Topics in Intelligent Engineering and Informatics, vol 14. Springer, Cham. https://doi.org/10.1007/978-3-030-14350-3_11

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