Continued fractions related to Narayana polynomials
Combinatorics
2026-05-06 v2
Abstract
The generating functions of some sequences of Catalan numbers and Narayana polynomials have simple expansions as continued fractions of Jacobi type. We give an overview of these facts and prove analogous results for q-Narayana polynomials at q=-1.
Keywords
Cite
@article{arxiv.2604.24207,
title = {Continued fractions related to Narayana polynomials},
author = {Johann Cigler},
journal= {arXiv preprint arXiv:2604.24207},
year = {2026}
}
Comments
A section with closed formulas has been added