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Tur\'{a}n's inequality for ultraspherical polynomials revisited

Classical Analysis and ODEs 2020-02-05 v1

Abstract

We present a short proof that the normalized Tur\'{a}n determinant in the ultraspherical case is convex or concave depending on whether parameter λ\lambda is positive or negative.

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Cite

@article{arxiv.2002.01393,
  title  = {Tur\'{a}n's inequality for ultraspherical polynomials revisited},
  author = {Geno Nikolov},
  journal= {arXiv preprint arXiv:2002.01393},
  year   = {2020}
}

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6 pages