42 citations · 241 across the 27 of their papers we have counts for
3 papers · 1 filter
On the fractional probabilistic Taylor's and mean value theorems
Antonio Di Crescenzo, Alessandra Meoli
In order to develop certain fractional probabilistic analogues of Taylor's theorem and mean value theorem, we introduce the nth-order fractional equilibrium distribution in terms o…
Analysis of a growth model inspired by Gompertz and Korf laws, and an analogous birth-death process
Antonio Di Crescenzo, Serena Spina
We propose a new deterministic growth model which captures certain features of both the Gompertz and Korf laws. We investigate its main properties, with special attention to the co…
Analysis of random walks on a hexagonal lattice
Antonio Di Crescenzo, Claudio Macci, Barbara Martinucci +1
We consider a discrete-time random walk on the nodes of an unbounded hexagonal lattice. We determine the probability generating functions, the transition probabilities and the rele…