53 citations · 123 across the 16 of their papers we have counts for
17 papers
A new generalization of binomial coefficients
Michel Lassalle
Let be a fixed parameter and some indeterminate. We give some properties of the generalized binomial coefficients inductively defined by $k/x…
Narayana polynomials and Hall-Littlewood symmetric functions
Michel Lassalle
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…
Two integer sequences related to Catalan numbers
Michel Lassalle
We prove the following conjecture of Zeilberger. Denoting by the Catalan number, define inductively by $(-1)^{n-1}A_n=C_n+\sum_{j=1}^{n-1} (-1)^{j} \binom{2n-1}{2j-1} A…
Class expansion of some symmetric functions in Jucys-Murphy elements
Michel Lassalle
We present a method to compute the class expansion of a symmetric function in the Jucys-Murphy elements of the symmetric group. We apply this method to one-row Hall-Littlewood symm…
An (inverse) Pieri formula for Macdonald polynomials of type C
Michel Lassalle
We give an explicit Pieri formula for Macdonald polynomials attached to the root system C_n (with equal multiplicities). By inversion we obtain an explicit expansion for two-row Ma…
Recurrence formulas for Macdonald polynomials of type A
Michel Lassalle, Michael J. Schlosser
We consider products of two Macdonald polynomials of type A, indexed by dominant weights which are respectively a multiple of the first fundamental weight and a weight having zero…