Narayana polynomials and Hall-Littlewood symmetric functions

Abstract

We show that Narayana polynomials are a specialization of row Hall-Littlewood symmetric functions. Using lambda-ring calculus, we generalize to Narayana polynomials the formulas of Koshy and Jonah for Catalan numbers.

25 pages, LaTeX, to appear in Advances in Applied Mathematics

References in corpus (2)

• Jack polynomials and free cumulants
• Haglund-Haiman-Loehr Type Formulas for Hall-Littlewood Polynomials of Type B and C

Cited by in corpus (2)

• Duplicial algebras and Lagrange inversion
• Flows on rooted trees and the Narayana idempotents