42 citations · 110 across the 23 of their papers we have counts for
5 papers · 1 filter
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…
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…
The classical umbral calculus: Sheffer sequences
E. Di Nardo, H. Niederhausen, D. Senato
Following the approach of Rota and Taylor \cite{SIAM}, we present an innovative theory of Sheffer sequences in which the main properties are encoded by using umbrae. This syntax al…
A unifying framework for -statistics, polykays and their multivariate generalizations
Elvira Di Nardo, Giuseppe Guarino, Domenico Senato
Through the classical umbral calculus, we provide a unifying syntax for single and multivariate -statistics, polykays and multivariate polykays. From a combinatorial point of vi…
A symbolic method for k-statistics
E. Di Nardo, D. Senato
Trough the classical umbral calculus, we provide new, compact and easy to handle expressions of k-statistics, and more in general of U-statistics. In addition such a symbolic metho…