Research Articles in Mathematics

(The links are to PDF files)

• A problem of Zarankiewicz, Journal of Combinatorial Theory, series A, 18 (1975) 187-192.
• The maximum number of q-cliques in a graph with no p-cliques, Discrete Mathematics 14 (1976) 365-371.
• A problem on multi-coloring of graphs, Discrete Mathematics 22 (1978) 41-47.
• The umbral calculus (with Gian-Carlo Rota) Advances in Mathematics 31 (1978) 95-188.
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• The algebra of formal series, Advances in Mathematics 31 (1979) 309-339.
• The algebra of formal series II: Sheffer sequences, Journal of Mathematical Analysis and Applications 74 (1980) 120-143.
• The algebra of formal series III: several variables, Journal of Approximation Theory 26 (1979) 340-381.
• The formula of Faa di Bruno, American mathematical Monthly 87 (1980) 805-809.
• Inverse relations for certain Sheffer sequences (with James Ward Brown), SIAM Journal on Mathematical Analysis 12 (1981) 186-195.
• Polynomials, power series and interpolation, Journal of Mathematical Analysis and Applications 80 (1981) 333-371.
• The theory of the umbral calculus I, Journal of Mathematical Analysis and Applications 87 (1982) 58-115.
• The theory of the umbral calculus II, Journal of Mathematical Analysis and Applications 89 (1982) 290-314.
• The theory of the umbral calculus III, Journal of Mathematical Analysis and Applications 95 (1983) 528-563.
• Operational formulas, Linear and Multilinear Algebra 12 (1982) 1 - 20.
• Inverse relations and the umbral calculus (with Paul DeLand, Ray Shifflet and Harris Shultz), Journal of Combinatorics, Information and System Science 8 (1983) 185-198.
• The umbral calculus and the solutions to certain recurrence relations (with Paul DeLand, Ray Shifflet and Harris Shultz), Journal of Combinatorics, Information and System Science 8 (1983) 235-240.
• More on the umbral calculus, with emphasis on the q-umbral calculus, Journal of Mathematical Analysis and Applications 107 (1985) 222-254.
• The logarithmic binomial formula, American Mathematical Monthly, 99 (1992) 641-648.
• The harmonic logarithms and the binomial formula, Journal of Combinatorial Theory, series A, 63 (1992) 143-163.

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