Sheffer sequence

In mathematics, a polynomial sequence, i.e., a sequence { pn(x) : n = 0, 1, 2, 3, ... } of polynomials in which the index of each polynomial equals its degree, is a Sheffer sequence (from Isadore M. Sheffer) if the linear operator Q on polynomials in x defined by

Reference

• G.-C. Rota, D. Kahaner, and A. Odlyzko, "Finite Operator Calculus," Journal of Mathematical Analysis and its Applications, vol. 42, no. 3, June 1973. Reprinted in the book with the same title, Academic Press, New York, 1975.