\(q\)-rational and \(q\)-real binomial coefficients

DOI10.1016/j.aam.2023.102618arXiv2301.08185MaRDI QIDQ6184899

John Machacek, Nicholas Ovenhouse

Publication date: 29 January 2024

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.08185

zbMATH Keywords

\(q\)-binomial coefficient\(q\)-identities\(q\)-analog

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Cites Work

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• \(q\)-deformations in the modular group and of the real quadratic irrational numbers
• Quantum numbers and \(q\)-deformed Conway-Coxeter friezes
• Cluster algebras and Jones polynomials
• Cluster algebras and continued fractions
• On q-Deformed Real Numbers
• -DEFORMED RATIONALS AND -CONTINUED FRACTIONS
• On a rank-unimodality conjecture of Morier-Genoud and Ovsienko
• Quantum calculus
• \(q\)-rationals and finite Schubert varieties

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