|Title:||Energy of a polynomial and the Coulson integral formula||Journal:||Journal of Mathematical Chemistry||Volume:||48||Issue:||4||First page:||1062||Last page:||1068||Issue Date:||16-Sep-2010||Rank:||M21||ISSN:||0259-9791||DOI:||10.1007/s10910-010-9725-z||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.
|Keywords:||Coulson formula | Energy (of graph) | Energy (of polynomial)||Publisher:||Springer Link|
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