Here presented is constructive generalization of exponential Euler polynomial and exponential splines based on the interrelationship between the set of concepts of Eulerian polynomials, Eulerian ...

Abstract: Generating functions (GFs) are one of the most useful tools for problem solving, as they have been playing an important role in many applications, including but not limited to counting, ...

Exponential generating functions So far, we defined the generating function for a sequence $\left (h_n\right)_ {n \geq 0}$ by using the monomials $1, x, x^2, \ldots$ There were no coefficient ...