The reference links to the modern " classical umbral calculus " (before that properly called Blissard's symbolic method) and to Steffensen-actuarialist.....are numerous. The reference links to the EFOC (Extended Finite Operator Calculus) founded by Rota with numerous outstanding Coworkers, Followers and Others ... and links to Roman-Rota functional formulation of umbra calculi ... .....are gian...

................................................................................................................................. iv INTRODUCTION AND LITERATURE REVIEW ..................................................................... 1 METHODS .................................................................................................................................. 24 RESULTS ..........

Sequences of polynomials, verifying the (▭), nowadays called Appell polynomials, have been well studied because of their remarkable applications not only in different branches of mathematics ([2], [3]) but also in theoretical physics and chemistry ([4], [5]). In 1936 an initial bibliography was provided by Davis (p. 25[6]). In 1939 Sheffer ([7]) introduced a new class of polynomials which exten...

We introduce a new numerical approach to value structured financial products. These financial products typically feature a large number of underlying assets and require the explicit modelling of the dependence structure of these assets. We follow the approach of Kraft and Steffensen (2006,[26]), who explicitly describe the possible value combinations of the assets via a Markov chain with a port...