q-binomial formulae of Dixon`s type and the Fibonomial sums

DOI10.2298/AADM190406016CzbMath1499.11055OpenAlexW3018291517MaRDI QIDQ5028781

Chu, Wenchang, Emrah Kılıç

Publication date: 10 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm190406016c

zbMATH Keywords

basic hypergeometric seriesfibonomial coefficient\(q\)-Dixon sumGaussian \(q\)-binomial coefficient

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Formulae related to the \(q\)-Dixon formula with applications to Fibonomial sums
• \(q\)-derivative operator proof for a conjecture of Melham
• On some identities for the Fibonomial coefficients via generating function
• Some formulas of F. H. Jackson
• Evaluation of sums involving Gaussian q-binomial coefficients with rational weight functions
• Transformations of Basic Hypergeometric Functions of Special Type
• A NOTE ON CERTAIN q-IDENTITIES
• CERTAIN q-IDENTITIES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: q-binomial formulae of Dixon`s type and the Fibonomial sums