q-Fibonacci polynomials and q-Genocchi numbers
Johann Cigler
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.
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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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Advanced Mathematical Theories and Applications