Continued fractions related to Narayana polynomials

Fuente: arXiv
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Autore principale: Cigler, Johann
Natura: Preprint
Pubblicazione: 2026
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author Cigler, Johann
author_facet Cigler, Johann
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_24207
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Continued fractions related to Narayana polynomials
Cigler, Johann
Combinatorics
05A15, 05A30
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.
title Continued fractions related to Narayana polynomials
topic Combinatorics
05A15, 05A30
url https://arxiv.org/abs/2604.24207