Pairs of lattice paths and positive trigonometric sums
DOI10.1007/s00365-009-9067-xzbMath1203.42001arXiv0903.5179OpenAlexW3100251321MaRDI QIDQ1959703
Publication date: 7 October 2010
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.5179
Chebyshev polynomialsJacobi polynomialslattice pathsbinomial coefficientsbinary wordspositive trigonometric sums
Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Inequalities for trigonometric functions and polynomials (26D05) Trigonometric polynomials, inequalities, extremal problems (42A05) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)
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Cites Work
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- Partitions with prescribed hook differences
- Lattice paths and positive trigonometric sums
- On a conjecture of Peter Borwein
- The Borwein conjecture and partitions with prescribed hook differences
- Factors of alternating sums of products of binomial and q-binomial coefficients
- Positivity preserving transformations for 𝑞-binomial coefficients
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