The umbral calculus

Steven Roman9780080874302, 9780125943802, 9780486441399, 0125943806, 0486441393

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. 1984 edition.