Narayana polynomials and Hall-Littlewood symmetric functions

Michel Lassalle (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

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.

Domaines: Combinatoire [math.CO]

Michel Lassalle. Narayana polynomials and Hall-Littlewood symmetric functions. Advances in Applied Mathematics, 2012, 49 (3-5), pp.239-262. ⟨10.1016/j.aam.2012.06.002⟩. ⟨hal-00826241⟩