Appell polynomials and their relatives II. Boolean theory
Appell polynomials and their relatives II. Boolean theory
The Appell-type polynomial family corresponding to the simplest non-commutative derivative operator turns out to be connected with the Boolean probability theory, the simplest of the three universal non-commutative probability theories (the other two being free and tensor/classical probability).The basic properties of the Boolean Appell polynomials are described.In particular, their generating …