English

A symmetric decomposition of the Boros-Moll polynomials

Combinatorics 2023-01-02 v1

Abstract

In their study of a quartic integral, Boros and Moll introduced a special case of Jacobi polynomials, which are now known as the Boros-Moll polynomials. In this paper, we study a symmetric decomposition of Boros-Moll polynomials. We discover that both of the polynomials in the symmetric decomposition are alternatingly gamma-positive polynomials.

Keywords

Cite

@article{arxiv.2212.14501,
  title  = {A symmetric decomposition of the Boros-Moll polynomials},
  author = {Guo-Niu Han and Shi-Mei Ma and Yeong-Nan Yeh},
  journal= {arXiv preprint arXiv:2212.14501},
  year   = {2023}
}

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7 pages