**
Y. Ben Cheikh**

##
On Obtaining Dual Sequences Via Quasi-Monomiality

**abstract:**

We introduce a method to obtain the dual sequence of a given polynomial set
using the lowering operator associated with the involved polynomials. As an
application, we derive polynomial expansions of analytic functions. The
particular case corresponding to Boas-Buck polynomials allows us to unify many
polynomial expansions of analytic functions in the literature. This method can
be useful in studying many problems arising in the theory of polynomials as the
so-called connection and linearization problems.