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math.CO1999
Umbral presentations for polynomial sequences
Brian D. Taylor
Using random variables as motivation, this paper presents an exposition of the formalisms developed by Rota and Taylor for the classical umbral calculus. A variety of examples are…
math.CO1999
A straightening algorithm for row-convex tableaux
Brian D. Taylor
We produce a new basis for the Schur and Weyl modules associated to a row-convex shape, D. The basis is indexed by new class of "straight" tableaux which we introduce by weakening…