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Energy of a polynomial and the Coulson integral formula

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Abstract

The energy of an arbitrary polynomial is defined in analogy to the energy of a graph, so that the Coulson integral formula remains valid. In particular, we extend the Coulson integral formula to the case when the zeros of the underlying polynomial are not real and simple. Some related proofs from a recent paper by Peña and Rada are corrected and their results generalized.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Belgrade, Studentski Trg 16, 11000, Belgrade, Serbia

    Miodrag Mateljević & Vladimir Božin

  2. Faculty of Science, University of Kragujevac, P. O. Box 60, 34000, Kragujevac, Serbia

    Ivan Gutman

Authors
  1. Miodrag Mateljević
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  2. Vladimir Božin
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  3. Ivan Gutman
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Correspondence to Ivan Gutman.

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Mateljević, M., Božin, V. & Gutman, I. Energy of a polynomial and the Coulson integral formula. J Math Chem 48, 1062–1068 (2010). https://doi.org/10.1007/s10910-010-9725-z

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  • DOI: https://doi.org/10.1007/s10910-010-9725-z

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