Recurrence relations for powers of q-Fibonacci polynomials
Johann Cigler
TL;DR
This paper develops q-analog identities and recurrence formulas for powers of Fibonacci polynomials, extending classical results into the q-analogue domain.
Contribution
It introduces new q-analog Euler-Cassini identities and recurrence formulas specifically for powers of Fibonacci polynomials.
Findings
Derived q-analog Euler-Cassini identities
Established recurrence formulas for powers of Fibonacci polynomials
Extended classical Fibonacci identities into the q-analogue framework
Abstract
We derive some q-analogs of Euler-Cassini-type identities and of recurrence formulas for powers of Fibonacci polynomials.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · Advanced Mathematical Theories and Applications