Combinatorial trigonometry with Chebyshev polynomials

DOI10.1016/j.jspi.2010.01.011zbMath1230.05093OpenAlexW1984739657MaRDI QIDQ972816

Arthur T. Benjamin, Larry Ericksen, Mark Shattuck, Pallavi Jayawant

Publication date: 21 May 2010

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://scholarship.claremont.edu/hmc_fac_pub/106

zbMATH Keywords

Chebyshev polynomialstilingcombinatorial proof

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (9)

The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams ⋮ Hankel determinants of sums of consecutive Motzkin numbers ⋮ A special approach to derive new formulas for some special numbers and polynomials ⋮ A change of basis matrix and integrals of power of cosine ⋮ Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions ⋮ Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials ⋮ Combinatorially composing Chebyshev polynomials ⋮ Lattice path combinatorics for multiple product identities ⋮ Identities and relations for special numbers and polynomials: An approach to trigonometric functions

Cites Work

• Combinatorially composing Chebyshev polynomials
• Lattice path combinatorics for multiple product identities
• A combinatorial proof of a Chebyshev polynomial identity
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