Some elementary aspects of q-Fibonacci and q-Lucas polynomials
Johann Cigler
TL;DR
This paper explores bivariate q-Fibonacci and q-Lucas polynomials, extending classical Fibonacci and Lucas properties into a q-analog framework with a self-contained approach.
Contribution
It introduces a new self-contained framework for bivariate q-Fibonacci and q-Lucas polynomials, expanding classical number theory into the q-analog domain.
Findings
Derived properties of q-Fibonacci and q-Lucas polynomials
Established connections to classical Fibonacci and Lucas numbers
Provided foundational results for further q-analog research
Abstract
Based on well-known properties of Fibonacci and Lucas numbers and polynomials we give a self-contained approach to some bivariate analogs.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Combinatorial Mathematics · Advanced Mathematical Identities