# q-Fibonacci polynomials and q-Genocchi numbers

**Authors:** Johann Cigler

arXiv: 0908.1219 · 2010-12-01

## TL;DR

This paper explores the relationship between Fibonacci polynomials, Genocchi, and Bernoulli numbers, introducing new q-analogues to deepen the understanding of their interconnections.

## Contribution

It presents novel q-analogues of Fibonacci polynomials, Genocchi, and Bernoulli numbers, establishing their relationships and extending classical number theory concepts.

## Key findings

- Derived q-analogues of Fibonacci polynomials
- Established connections between q-Genocchi and Bernoulli numbers
- Extended classical identities to the q-analogues

## Abstract

We show that Genocchi and Bernoulli numbers are closely related to Fibonacci polynomials and derive some q-analogues.

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Source: https://tomesphere.com/paper/0908.1219