Some elementary observations on Narayana polynomials and related topics II: q-Narayana polynomials
Johann Cigler

TL;DR
This paper explores the relationships between q-analogues of classical combinatorial numbers and polynomials, revealing that q-Catalan numbers, q-central binomial coefficients, and q-Narayana polynomials are moments of certain q-Fibonacci and Lucas polynomials.
Contribution
It establishes new connections between q-analogues of well-known polynomials and moment sequences, expanding understanding of their algebraic and combinatorial properties.
Findings
q-Catalan numbers are moments of q-Fibonacci polynomials
q-Narayana polynomials relate to q-Lucas polynomials
The paper provides new identities linking these q-analogues
Abstract
We show that q-Catalan numbers, q- central binomial coefficients and q- Narayana polynomials are moments of q-analogues of Fibonacci and Lucas polynomials and related polynomials.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Mathematical functions and polynomials
