… In this paper we give a new family of numbers, called α-Whitney numbers, which gives gener…
of Whitney numbers and Stirling numbers. Some basic properties of these numbers such as …

… Let the family S of combinatorial objects (prefabiants) consist of all layers 〈Φk → Φn〉, k <
n… Pm’s m ∈ N constitute from now on a family of prime prefabiants which we define after [4] in …

… -Whitney numbers of the first and second kind over Q n (G), respectively. This concept is a
common generalization of the Whitney numbers and the r-Stirling numbers … obtain various new …

… Whitney numbers for new infinite families of parameters. We also show that the second Whitney
numbers … are curious expressions involving the Bernoulli numbers. In passing, we obtain …

… construct a family of … new combinatorial interpretation to the r-Whitney numbers of the second
kind. As a special case we get a new combinatorial interpretation for the r-Stirling numbers …

… winding number. We also provide a "di erence integration" of these formulae, establishing
a new family of simple formulae with the base point pushed o the curve. Similar new identities …

… of nonnegative integers called Whitney numbers of the first kind… , leading to a notion of Whitney
numbers for each cone. This … Whitney numbers of the cone interestingly refine the number …

… Here, “discrete” means that the form is completely determined by only a finite number of …
With hindsight, it is startling that after the discovery of discrete differential forms by Whitney [27] it …

… numbers corresponds to choosing a particular family of graphs, namely unlooped complete
graphs, fixing a valuation on this family… graph to the chosen family, which would minimize the …