Lattice paths and positive trigonometric sums

M. E.H. Ismail, D. Kim, D. Stanton

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

A trigonometric polynomial generalization to the positivity of an alternating sum of binomial coefficients is given. The proof uses lattice paths, and identifies the trigonometric sum as a polynomial with positive integer coefficients. Some special cases of the q-analogue conjectured by Bressoud are established, and new conjectures are given.

Original languageEnglish (US)
Pages (from-to)69-81
Number of pages13
JournalConstructive Approximation
Volume15
Issue number1
DOIs
StatePublished - 1999

Keywords

  • Binomial coefficients
  • Lattice paths
  • Positivity
  • Quadrature

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