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Analog of the mean-value theorem for polynomials of special form

Complex Variables 2013-09-13 v1 Classical Analysis and ODEs

Abstract

In the present paper a new mean value theorem for polynomials of special form is obtained. The case of sums on vertices of a regular polygon is studied. A criterion for a certain equation to be satisfied is obtained.

Keywords

Cite

@article{arxiv.1309.3101,
  title  = {Analog of the mean-value theorem for polynomials of special form},
  author = {Olga D. Trofimenko},
  journal= {arXiv preprint arXiv:1309.3101},
  year   = {2013}
}

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9 pages