Some conjectures about q-Fibonacci polynomials
Johann Cigler
TL;DR
This paper presents conjectures related to q-Fibonacci polynomials, generalizing known Fibonacci number properties to a q-parameterized context, aiming to deepen understanding of their mathematical structure.
Contribution
It introduces new conjectures about q-Fibonacci polynomials that extend classical Fibonacci results to the q-analogue setting.
Findings
Conjectures connect q-Fibonacci polynomials to classical Fibonacci properties.
Reduction to Fibonacci numbers when q=1.
Provides a basis for future proofs and research.
Abstract
In this paper we state some conjectures about q-Fibonacci polynomials which for q=1 reduce to well-known results about Fibonacci numbers and Fibonacci polynomials.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Theories and Applications · Advanced Mathematical Identities