3 papers
math.CO2024
Macdonald characters from a new formula for Macdonald polynomials
Houcine Ben Dali, Michele D'Adderio
We introduce a new operator on symmetric functions, which enables us to obtain a creation formula for Macdonald polynomials. This formula provides a connection between the theo…
math.CO2024
Differential equations for the series of hypermaps with control on their full degree profile
Houcine Ben Dali
We consider the generating series of oriented and non-oriented hypermaps with controlled degrees of vertices, hyperedges and faces. It is well known that these series have natural…
math.CO2023
A note on the map expansion of Jack polynomials
Houcine Ben Dali
In a recent work, Maciej Dołe\k{}ga and the author have given a formula of the expansion of the Jack polynomial in the power-sum basis as a non-orientability generating…