zbMATH — the first resource for mathematics

Further remarks on extended umbral calculus. (English) Zbl 1018.05008
Slovák, Jan (ed.) et al., The proceedings of the 21th winter school “Geometry and physics”, Srní, Czech Republic, January 13-20, 2001. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 69, 117-130 (2002).
The paper deals with extensions of the finite operator calculus of G.-C. Rota called \(\psi\)-extensions which give a framework for corresponding quantum group investigations. This also covers the instance of the well-known \(q\)-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.
For the entire collection see [Zbl 0994.00029].

05A40 Umbral calculus
81S99 General quantum mechanics and problems of quantization