Roman S. The Umbral Calculus

Academic Press, 2005. — 208 Pages.Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus explores Sheffer sequences and operators and their adjoints, with numerous examples of associated and other sequences. Also discusses the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution.