42 citations · 82 across the 15 of their papers we have counts for
16 papers
Symbolic solutions of some linear recurrences
E. Di Nardo, D. Senato
A symbolic method for solving linear recurrences of combinatorial and statistical interest is introduced. This method essentially relies on a representation of polynomial sequences…
Hall-Littlewood symmetric functions via Yamanouchi toppling game
Robert Cori, Pasquale Petrullo, Domenico Senato
We define a solitary game, the Yamanouchi toppling game, on any connected graph of n vertices. The game arises from the well-known chip-firing game when the usual relation of equiv…
Orthogonal polynomials through the invariant theory of binary forms
Pasquale Petrullo, Domenico Senato, Rosaria Simone
We present an algebraic theory of orthogonal polynomials in several variables that includes classical orthogonal polynomials as a special case. Our bottom line is a straightforward…
Natural statistics for spectral samples
E. Di Nardo, P. McCullagh, D. Senato
Spectral sampling is associated with the group of unitary transformations acting on matrices in much the same way that simple random sampling is associated with the symmetric group…
A new algorithm for computing the multivariate Faà di Bruno's formula
E. Di Nardo, G. Guarino, D. Senato
A new algorithm for computing the multivariate Faà di Bruno's formula is provided. We use a symbolic approach based on the classical umbral calculus that turns the computation of t…
Cumulants and convolutions via Abel polynomials
E. Di Nardo, P. Petrullo, D. Senato
We provide an unifying polynomial expression giving moments in terms of cumulants, and viceversa, holding in the classical, boolean and free setting. This is done by using a symbol…