Some elementary observations on Narayana polynomials and related topics
Johann Cigler
TL;DR
This paper provides an elementary overview of generalized Fibonacci and Lucas polynomials, highlighting their connection to Narayana polynomials of types A and B, and explores related mathematical properties.
Contribution
It introduces a straightforward approach to understanding the relationship between Fibonacci, Lucas, and Narayana polynomials, emphasizing their moments and combinatorial significance.
Findings
Narayana polynomials are moments of generalized Fibonacci and Lucas polynomials.
Elementary methods reveal properties of these polynomials and their interrelations.
Connections to combinatorial structures are discussed.
Abstract
We give an elementary account of generalized Fibonacci and Lucas polynomials whose moments are Narayana polynomials of type A and type B.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Theories and Applications · Advanced Mathematical Identities