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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 1

Fibonomial and Lucanomial sums through well-poised $q$-series

Wenchang Chu(University of Salento)0000-0002-8425-212X
Emrah Kılıç(TOBB UNIVERSITY OF ECONOMICS AND TECHNOLOGY)0000-0003-0722-7382
Pages
—
Publication Date
2023-02-15
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

By making use of known identities of terminating well-poised $q$-series, we shall demonstrate several remarkable summation formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one.

📌 3 Key Takeaways

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Objective & Hypothesis:By making use of known identities of terminating well-poised $q$-series, we shall demonstrate several remarkable summation formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one.
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Key Findings & Data:By making use of known identities of terminating well-poised $q$-series, we shall demonstrate several remarkable summation formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one.
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Conclusion & Impact:By making use of known identities of terminating well-poised $q$-series, we shall demonstrate several remarkable summation formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Gaussian coefficient · $q$-binomial coefficient · Well-poised $q$-series

Abstract

By making use of known identities of terminating well-poised $q$-series, we shall demonstrate several remarkable summation formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one.

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Cite This Article

Chu, W., Kılıç, E. (2023). Fibonomial and Lucanomial sums through well-poised $q$-series. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 1. https://doi.org/10.15672/hujms.1066540

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