Polynomial integration over the unit circle

Othmani, Yamen;Maclean, Heather
(2012) Applied Mathematics Letters — Vol. 25, n° 3, p. 434-438 (2012)

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  • Othmani, YamenUCLouvain
    Author
  • Maclean, HeatherUCLouvain
    Author
Abstract
In this work, recursive formulas facilitating the computation of very complex tensor integrals over the unit circle, are obtained by making use of the divergence theorem and mathematical induction. Using these formulas, the integrals over the unit circle of polynomials with any high degree are easily computed. © 2011 Elsevier Ltd. All rights reserved.
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Othmani, Y., & Maclean, H. (2012). Polynomial integration over the unit circle. Applied Mathematics Letters, 25(3), 434-438. https://doi.org/10.1016/j.aml.2011.09.031 (Original work published 2012)