Deformations of the Taylor formula.
Delannoy and tetrahedral numbers
We establish an identity between Delannoy numbers and tetrahedral numbers of arbitrary dimension.
Derivatives of Catalan related sums.
Determinants of matrices related to the Pascal triangle
The aim of this paper is to study determinants of matrices related to the Pascal triangle.
Deux propriétés combinatoires du langage de Lukasiewicz
Duality triads of higher rank: Further properties and some examples
It is shown that duality triads of higher rank are closely related to orthogonal matrix polynomials on the real line. Furthermore, some examples of duality triads of higher rank are discussed. In particular, it is shown that the generalized Stirling numbers of rank r give rise to a duality triad of rank r.