The paper deals with extensions of the finite operator calculus of G.-C. Rota called -extensions which give a framework for corresponding quantum group investigations. This also covers the instance of the well-known -analogue of umbral calculus. The article also contains glossaries of the most important terms and notations used by Ward, Viskov, Markowsky and Roman on one side and the Rota-oriented notations on the other side.
@article{701693, title = {Further remarks on extended umbral calculus}, booktitle = {Proceedings of the 21st Winter School "Geometry and Physics"}, series = {GDML\_Books}, publisher = {Circolo Matematico di Palermo}, address = {Palermo}, year = {2002}, pages = {[117]-130}, mrnumber = {MR1972430}, zbl = {1018.05008}, url = {http://dml.mathdoc.fr/item/701693} }
Kwaśniewski, A. K.; Grądzka, E. Further remarks on extended umbral calculus, dans Proceedings of the 21st Winter School "Geometry and Physics", GDML_Books, (2002), pp. [117]-130. http://gdmltest.u-ga.fr/item/701693/